I find the "marine beaming over to play bridge and have beer" the funniest...
IMHO, for SFC2/OP: Either Mirak or Gorn should be ok. (given the opponent doesn't know about proper point defense and seeking avoidance tactics (i.e. Run away))
The X cruisers are really easy to fly. (except when against an equally competent opponenet. then its gets frustrating)
Without X tech (EAW), I'd say the CCH or NCA level cruisers are the easiest to fly. Unlike BCH which have too many weapons and require careful management, or the lighter cruisers which are not strong enough to endure much punishment.
For SFC3, Fed with Pulse and Quantum Torps.
I know this has been said and rebuked many times, but I still believe it to be true:
A fully loaded Defiant can take any ship short of the Dreadnaught (Soveriegn) level. Since it's a good balance between firepower and maneoveurablity.