How often do you see yourself heads up with two pair and there is a flush draw on the board. Lets say there was no preflop raise, do you bet heavy to take it down there?
...If there is a decent amount of money already in the pot, I would bet enough out, maybe pot sized, to try and take it uncontested. However, if there isn't I might bet a bit smaller, maybe 3/4s, to try and squeeze an extra bet from my opponent.
Do you bet the blind and wait to see if the other suited card hits the turn?
...If, by betting the blind, you min-betting, this is a complete no-no. The reason being is if my opponent is on the draw, min-betting gives him more than enough odds to call and hit the flush. Not to mention, you are losing so much value on your 2 pair if your opponent calls and misses.
Lets say there is $10 in the pot and you bet $1. You opponent is now getting 11:1 on their money to call when they have 4:1 odds to hit-this is a good call. Lets say they miss their draw and fold to your turn bet, well you've only extracted a $1 from your opponent. Lets say same scenerio, but you bet $7. You opponent has to call $7 for a pot of $17, getting only 2.4:1 on their money but with only 4:1 odds of hitting, this is a bad call. Again, they miss and fold on the turn, but you've extracted much more value with your hand.
Either way you have to bet your two pair. Let's say the opponent just calls either one of those bets. The turn comes and its the other suited card. you are first to act, the big question...DO YOU BET or CHECK......? if you bet how much?
...This would depend on the read of my opponents. If my opponent is known to chase draws, then I'd be more inclined to slow it down here and try to get to show down cheat. If they are first to act and they check, I'll check behind them and take a free card. Or if they bet, I might call if its small but will fold to a big river raise. If you're playing out of position, I would just check, try to see a free card, and try to see a showdown cheap. However this is for opponents who really chase their draws, for others who don't and its more likely they're calling with just a pair and not FD, betting out is definitely your better option.