TT bars are built to emulate drops when you are riding on the brake hoods... they eliminate A LOT of hand positions... not a bad thing when you are riding in a controlled very fast short burst environment... not so good when you are out for varied lengths of time in all kinds of riding...
for those that know me on here they know i'm a tall fatty... about a year ago I sold all my bikes to help fund a mission trip but my roaddie I was on a 65cm steel lugged frame and could have gone a bit larger (if I could have found something larger)... I built it up with bar-con shifters (bar end shifters) a raised stem and a shallow drop "compact" drop bar... it put the drops in reach in spite of my gut (including the shifters) and the flat bar section was very upright while the hoods gave me a nice laid out feel... yes it looked funny but so does my fat arse in bibs... I don't ride to look the part... I ride for myself and because I enjoy it.
if you want to build something then I'd try and find something used and build up (higher end steel from the 80's or 90's is great fun and rides so nicely)... biggest prob is the hippster crowd nabs em up pretty quickly.
but even buying used the biggest rule in cycling is fit... yes you can massage a frame that doesn't quite fit you... but even a few MM can make a HUGE difference in if you're comfy for hrs on end or you are in agony within min... (and thats where the LBS plug comes in... they should be able to properly fit you to a bike)
i'd keep what you have for now or if you do sell sell to buy something used and build from there... i'm still impressed with some of what bikes direct offers for the price... but even their higher end bikes need properly gone though by a competent mechanic... what you get is the basic tossed together bits by someone in china so it'll fit in the box... (the same as your LBS gets em)... the difference is when your LBS gets the bike they go though and true the wheels, verify