I had this problem with my 8800 GTX with a few games (Crysis, and hmm, forget the other now, but Crysis was the big one; and it did it regardless of resolution as well). Unforunately, it was just a sign of the video card failing, and I wasn't willing to contact tech support with BFG until it just started to fail in other games.
Really suggest trying to contact their cust-serv, that said, most likly all you'll get is an offer to replace the card if that's an option since their techs really aren't equipped to do that sort of remote troubleshooting.
To continue with my story of doom though, when this happened to me, with another game, the monitor went to 'standby', which looked the same as the how it behaves when the PC is off, but power still went to the monitor. Connection is there, so doesn't spit out the No Connection detected, it just doesn't want to work.
I know it's really not the answer you want to hear , but it's really all I can come with.
Well, that and maybe a hijackthis check to see if there's malware making your computer misbehave. Or a driver cleaning to make sure it's not an obscure driver conflict.
the video card is the geforce gtx 260..seems others have used this card with this game without a hitch..figures my first mmo, only the second time iv ever posted on a game forum,and finally a star trek game worthy of a subscription...DENIED..lol...only other games i play right now are s.o.s.e and X3 T.C and they play fine..not as intensive but the closest that i play.. iv also tried turning the res all the way down both in game as well as on my desktop..no help.