That's a little scary. Taking away the lead in betting is like a passive player's raise. The tight player's flatting range is mostly pocket pairs and big aces, then maybe suited broadway. I think you're good about 50/50 here. I'd call, not raise, and call another reasonable bet otr, or bet if he checks a blank river.

http://www.pokerstrategy.com
Board: Ad4d2dTs
Equity Win Tie
MP2 47.47% 47.47% 0.00% { AhKh }
MP3 52.53% 52.53% 0.00% { QQ-TT, 44, 22, KdQd, KdJd, QdJd, KdTd, QdTd, JdTd, AQo-ATo }