In my opinion you are trying to build a ship that has a function that its ill suited for. Ships like these should have extremely high powered engines to get as much speed as possible, this is for both defence and able to intercept an enemy. They should also operate from a base or carrier, I would prefer from a hangar since this will reduce your maintenance costs (ships like these tend to be quite expensive for their size).
The main problem is their very high fuel usage overall. Include a couple of these and you will burn fuel like crazy, even if they are small. They are not well suited for Jump Point attack and defence either, having weak armour.
From a role-play perspective I would not allow a 2000t ship to dock and be repaired in a carrier designed to carry and service ships at 200-500t, I really would need a dedicated tender for that. I would just build a Tender with a 2000-3000t hangar. Big enough to take one of these and also able to store some other utility crafts. The tender cold also have jump engines, extra fuel, MSP and all the things you need to tend to these ships for a reasonable price. Let's say you need one tender for every 3-5 of those ships. But this is me role-playing what I deem reasonable.
Overall I tend to use heavy beam weapons on my main ships mainly as a deterrent weapon and means to defend and attack Jump Points and other fixed locations such as planets and bases. I rarely want to waste expensive missiles to take on fixed installations, I rather wither the enemy missile defences with my point defences and engage them at close range. Easy enough when you can assess the mass needed for such an operation.
For close range fleet defence I use dedicated destroyers that have a reasonable speed and whose fuel consumption is not too ridiculous. These ships main role is heavy beam combat and their secondary role is point defence. They usually have some beam PD and a few anti-missile launchers, but their main armament will be heavy anti-ship beams.
All in all my advice would be to make the ships into a short range short deployment type or simply make it bigger and slower, perhaps have both. Build a dedicated gunboat carrier that can take two or three of these. I personally don't see a point in having a deployment time of 12 month for a ships like this, it is just a waste of resources overall. Having ships with a lower overall cost per tonnage means you can build more (and faster) and support more of them. Then also build a bigger Destroyer class ship dedicated for close combat fleet defence. Depending on how big your ships are overall I would suggest that most ships carry at least some beams to protect themselves with. This also make any and every capital ship viable for Jump Point defence and attack when you need it.
I might also end with a role-play reason for not building a ship like this. My main reason would be that in an environment where enemy military ships are very likely to carry missiles ships like these are extremely vulnerable. Low armour, no point-defence systems. They have zero chance against a ship with just a rudimentary missile capability, especially anti-missile missile system or even worse, missiles dedicated for defending and engaging fighter targets. If you also add escort ships with the same speed you are just using your resource even worse.
