That said, I would think that any ship built to have a mass driver engine and dedicated most of its mass to a directional radiator is probably purpose built for something other than ship-to-ship combat.
One idea: to make a suicide run against a planet. It doesn't matter whether you even have weapons, a ship-sized object hitting the ground at high speed will likely ruin the planet as a colony destination for a long time, better still if your ship runs a nuclear reactor that then turns into an impromptu dirty bomb. If its an enemy homeworld... XD
The simple threat of suicide directional-radiating ships would force an enemy to expend humongous amounts of fuel putting ships at station points outside the ecliptic (which costs the highest amount to get to), and do that for all major colonies (potential suicide run targets). Even if all your ships get caught and destroyed, the logistics of conducting the attack is easier than preventing it. You still win.
And then if the enemies come in and blow up the pickets, your replacements won't get out there fast enough to catch any ships radiating into the hole before those ships arrive at their targets. Or perhaps no such suicide ships were sent and they just wanted the morale effect of sitting around for a couple of weeks before the sensors are replaced, wondering if a metal rock is about to drop on your head.
Of course, you still have to find crew willing to go on a one-way trip that will last months or years. But then, one can always find fanatics.
This is exactly the sort of Rube Goldbergian solution proposed by advocates of space stealth. Yes, you can, theoretically, under ideal circumstances and your set of assumptions, probably make it work. That's not the question. The question is, can it do the job better than another solution. That is the standard by which these sort of things must be judged.
First, the idea of using a ship as a weapon against a planet is just plain silly. Have you never heard of missiles? They're a lot easier to stealth as they don't have a crew that has to be kept 285K above background. (And I do know that electronics don't work well at 3K. However, a small pile of chips at, say 270K, is going to produce a lot less heat then any reasonable crew. And don't bring aliens from a supercold planet as a rebutal. That's just pleading.) They also don't require you to find fanatics, and to feed them and supply them for a couple years.
Actually, most strategic kinetic strikes are silly. Nukes work better.
Second, the entire scenario requires an open-space FTL drive that leaves no jump signature whatsoever. Wormholes, jump points, and the like are out, as those can and will be tightly picketed. The same goes for any in-system colonies of significant size. The jump in must also leave no signature. (And don't bring up Oyster Bay. Weber engineered that into the FTL system, and there was revolutionary new tech involved. It only can happen once.) These assumption can be (and have been) made, but I find them questionable at best, and pleading at worst.
Third, why do you have to send manned ships to points above and below the ecliptic? If this is Aurora, there is no ecliptic, so you can't radiate into it. If it's real life, they'll going to use robots instead. And they don't have to be fancy ones. It's an IR camera with an attitude control system and a computer. You have to know where all of them are for this to work, and they're a lot stealthier than your ship. They're also disposable.
Fourth, you're in a Red Queen's Race between multiple methods of detection. With a small reactor and a big heat sink, the acceleration is slow (particularly in Aurora terms) and it will take you literally years to get up to a reasonable speed. And by reasonable, I mean "damage comparable to asteroid impact" not "capable of Hohmann transfers". And that gives the other guy more time to spot you, through star eclipse, reflection, someone coming close, or a sensor probe wandering into the beam. With a big reactor, the acceleration is higher, but so is the detectability. The cameras just got a lot cheaper, which means I can have more.
Fifth, your math is bad. Stealth does not equal win. You haven't mentioned how it's going to get though the defenses around the target planet. Radar stealth is not a feature of this design, and assuming I'm competent and you're attacking a major planet (incompetence requires pleading, and this is entirely too expensive for a minor colony) the ship will be detected weeks out. That leaves a slow, underdefended hunk of metal at his mercy. And I doubt he'll have any.
Sixth and last, you seem to be contradicting yourself. First, you said it would cause him to miscalculate your position. This is not the same as being invisible. Yes, his math may be a few percent off, but that's not going to make him think that you're a harmless trader going in the other direction. And you've also just announced to the world that you're using a stealth drive. And that is going to bring warships with active sensors, and a very low tolerance for your presence.
What's the alternative? A fleet with missiles with nuclear warheads. Or, if you're dead set on this design, dump out passive nukes and leave. It's easier and more effective.
I apologize if I rambled on there. I rather strongly dislike this kind of thing, and decided to finish it off now. There are other problems, and I'll raise them if needed, but I hope this has settled it.
Second note, I wrote this before the previous two posts were posted. A lot of improvements were made, but not all of my points were addressed (and I'm feeling lazy) so I'll post it as-is.