In the fifth round, the Colts select Brody Eldridge, TE out of Oklahoma. He's 6'4" 260, but also played some guard and center. He's a high character player.
He's also played some fullback.
That might actually be why the Colts wanted him.
Barring a trade, they have three 7th round picks almost at the very end of the draft.
UPDATE: Polian has described him as an excellent blocker, good in short yardage. He's clearly meant to be the big blocking TE/fullback. No more Mike Hart as fullback. That's a very good thing.