Villain is a TAG but does bluff at times. I have a TAG image and when I'm in the pot, people are usually careful because I only play premium hands and they know I like to set mine. The reason he didn't re-raise at the end was in fear that I had 10s, he knows I don't play A10 much. I usually only raise when I have the nuts. So in this situation, should I have just flat called on river in fear of being beaten by the few combos that beat me? Or was the raise just fine? Is shoving correct? Just wanna see the best line. Thanks.

50NL table

Hero in SB with 7d7h
Villian Raises from CO with 9s9h
Pot $3.20

Flop 9cAs10s
check, check
Turn 7c
I bet half pot $1.68, Villain raises to $5.04, my gut tells me I don't like my hand on this board, hoping board pairs. (pot now $12.77)
River Ac (board is now 9c As 10s 7c Ac) hoping he has a flush or Ax combos. I check to induce check-raise. Villain bets $6.72 which I saw as weak, I raised to $20.16 and Villain flat called, showing the better full house.