I have, for a very long time, determined that my ship will be called the Dauntless.
It would fall into a 'strike' category, a mid-sized ship with far too much firepower and speed for its own good, but with enough armor to take a few hits. As much as I love the big ships like the Battlestar, or the Galaxy-class or Sovereign-class, it's just not my style. The 'massive conglomerate' type of ship simply doesn't suit me. I'm not the type to be going toe-to-toe with giants, constantly firing off heavy barrages.
But something that's got some respectable power, but in a moderate size, having that agility at my disposal. Something involving lots of maneuverability, involving precise, hard and fast strikes, being considerably more 'in' the battle, that's what really gets me going.
I suppose the SSV Normandy would work well as a general template, but not stealthy, and a bit bulkier, tougher. I do love the Normandy, but it's not my ship, it's Shepard's.