I agree with you that ships that "make sense" are more fun. The friends I game with all have ships with minimal hull, no armor & no shields, and lotsa firepower. The only way to have a chance to win is to use some of these assault cruisers. We tried using fighters, but they turned out to be not that powerful for their cost. One of these cruisers costs about the same as 5 squadrons of fighters but has much more firepower.
Here is the Dreadnought that accompanied the five cruisers:
Heavy Dreadnought (1500)
-Tech: Weapons +1
Screens: 32-31-30-29-28-27-26-25-24-23-22-21-20-19-18-
17-16-15-14-13-12-11-10-9-8-7-6-5-4-3-2-1
Hull: 34-33-32-31-30-29-28-27-26-25-24-23-22-21-20-19-18-17-16-15-14-13-12-11-10-9-8-7-6-5-4-3-2-1
Engines: 4-4-4-4-4-3-3-3-3-2-2-2-2-1-1-1-1
Weapons: 38-36-34-32-30-27-25-23-21-18-16-14-12-9-7-5-3
Shields: 10-10-9-9-8-8-7-6-6-5-5-4-3-3-2-2-1
-Fwd: 4-3-2-1
-Port: 2-1
-Stbd: 2-1
-Aft: 2-1
Fusion Cannon (1-6/7-12/13-18) 1×3+/1/6 (Pr1)
GHI3 ☐ GHI3 ☐ GHI3 ☐ GHI3 ☐ // (2)
Lasers (1-6/7-12/13-18) 1×3+/1/1
ABC2 ☐ ABC2 ☐ ABC2 ☐ ABD2 ☐ ABD2 ☐ ABD2 ☐ // (3)
Antimatter Missiles (1-6/7-12/13-18) 1×3+/1/9 (Gid)
AB2 ☐ AB2 ☐ AB2 ☐ AB2 ☐ // (2)
Antimatter Missiles (1-6/7-12/13-18) 1×3+/1/9 (Gid)
AB2 ☐ AB2 ☐ AB2 ☐ // (2)
Equipment: Hyperdrive ☐| Tractor Beam ☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐ // (11)
Traits: Damage Control <5>