To me, finesse and fast shot sound like a contradiction. I would suggest a EW fast shot (plasma pistol maybe) but though effective, that would be only PvE, in Turn based. It would be a good first char to build up an economy, move around and have fun. With a good group you could probbly play RT with a plasma rifle, if you have high enough AP.
So maybe you can level this char you have up to the point where he can craft most energy weapons ? Then make a new one more effective for farming, and eventually have a look at pvp. Overall play as you feel like playing, man.