Against the AI those fighters will work against a low tech fleet but you will still get horrendous casualties if they have a good stock of AMM when they close. Enemy PD, even 10cm lasers will be useful unless you plan on staying at extreme range, but if you do you will not do much damage and enemy main beam weapons will eventually shoot them down. If the enemy PD ships have good ECM you will be fairly gimped as well, although Pilots can have good beam attack bonuses to offset penalties
Against an equal tech level opponent they will be swatted down like flies if you engage a fairly well balanced fleet.
As long as you face an AI and you send them out at weaker opponents you will do fairly well.
It does not matter what beam weapons you choose to put on those fighters, they are worthless against a fleet of ships most of the time.
Beam fighters are meant to engage other fighters, FAC and unarmed scouts... so you can take them out without the need to spend valuable ammunition and resources.
Although I don't agree with previous poster that they will be bad at engaging enemy fighters, they can do up to 2 damage at a range of I think 180k km and 3 damage at about 120k km, a 10cm laser could not even dream about that kind of damage at those ranges. If you can keep the distance for long enough you will win that engagement no matter a longer recharge rate. Range will usually trump rate of fire even if your fighters are somewhat slower speed, if you are faster you will "almost" automatically win, can depend on initiative as well.
I usually never find the beam approach bery useful at attacking enemy fleets unless my whole doctrine is geared around beam warfare, then it can be very effective.
I use beam fighters as interceptors for engaging other fighters and ships with no real active defenses, here they are valuable. On ships beam weapons are primarily for defense and to defend or attack Jump Points and planets.
As an example a Multi-Role destroyer might have a beam bank of a few particle beams, a twin 15-20cm turbo-laser turret (2x tracking speed) for defense against gunships, FAC or interceptors and 10-12cm pulse laser or Gauss cannon turrets (4x tracking speed) for point defense. All in addition to AMM and ASM missiles. Such escorts can perform almost any task and a squadron of those will take down a large number of enemy FAC/fighters with beam weapons.
I do have a feeling though that your technology is ahead of most of your enemies so you probably can afford to use your fighters more offensively than I can in my campaigns. It as about the setting and there are never just one solution for every situation.