Best Climbing bike?
The one Contador's on seems to work well.
Seriously, it sounds like a Cervelo S3, with a Cervelo reversible seatpost would fit what you want.
With the seat post forward you get an effective 76 degree seat tube, and the bike itself is close to being as aero as most TT bikes.
I would get the S3 over the R3, for triathlon use, even if it is a touch heavier.
__________________
You could fall off a cliff and die.
You could get lost and die.
You could hit a tree and die.
OR YOU COULD STAY HOME AND FALL OFF THE COUCH AND DIE.