Hi Roy-

I think you've played this fine. Given your read on villain, his turn raise is saying "I can beat a pair of 9s." Your 3-bet says "I can beat your holding that beats the 9s (meaning you have at minimum an overpair) and his 4-bet says "I can beat any overpair" or even "I can beat trips." Call down and expect to see trip 5s with a worse kicker about half the time and a boat the other half. A more interesting question is what to do if you river an ace -- in that case I prolly c/r the river and call a 3-bet.