Hm let's see. My To'duj fighter. I realize it's not a starship but I have always liked it and always like using it.
I'll admit that I have even done some episodes in it (defeating an NPC Orion battleship is a lot more fun in a fighter) and one time I forgot I was in it and popped in a KDF Fleet Alert in it. I wanted to warp out but my PuG made me stay saying that it would be fun. The enemy was Borg and I'll admit that it was fun, I blew up a few times but soloed a Probe and almost soloed a Sphere (starbase got it when I lowered its shields). Since LOR that it got a battle cloak I'm loving it even more!