the UGA 2016 drive you mentioned started with 9 minutes left and we were not hurrying it up though we did have to pass to win.
A better one would be the one to win it that started at midfield with 3 mins left in that same game after that Jacob Eason Christ INT.
The 2014 ACC CG vs FSU drive you cite is the best example.
The Southern 2014 drive started at 8:49 mark and was mostly a series of run plays. Not at-all a hurry-up offense that we're talking about though it was a pass that won that near-disaster.
http://www.espn.com/college-football/playbyplay?gameId=400547773
So 4 years since we've successfully run a hurry-up.
Not that I don't trust your gut, but I would be interested to see real data before making conclusions. In the last five years, how many times have we gotten the ball back in a 2-minute like scenario (with between 2:30 and :30 left on the clock to end a half or a game) and what was the result? Then, it would be good to know how that conversion rate compares to other teams. I suspect the conversion rate for most teams is not great and, from past analyses of these kind, I remember Tech doing pretty average (not great, but not terrible).
I looked at just this year. Here is how many times that situation has come up, and the result.
Alcorn - didn't come up
USF - 4th qtr, got ball at own 30 with 2:13 left. Result: 12 plays, 69 yards, clock ran out on the 1yd line
Pitt - 2nd qtr, got ball at own 26 with 0:32 left. Result: 4 plays, 39 yards, missed 52yd field goal.
Clem - didn't come up
BG - 4th qtr, got ball at own 29 with 1:30 left. Result: ran clock out.
UL - didn't come up, but did get ball in 2nd qtr at own 38 with 2:41 left. Result: 9 plays, 62 yards, TD.
Just based on this season, I can't say that we look horribly miserable in the "2-minute" offense.