we're not in a hurry to get monies in
so the answer is "bet as much as he's willing to call with most of his hands"
I say that because if he's folding Qx for a pot size bet I would be super sad because there's a chance that if we bet 1/2 pot and a river came a queen we'd stack the shit out of him

contrary to what you might expect we should bet as much as possible vs. strong draws because they're not playing for stacks if they hit
NL5 people know what the nuts is and they would check an ace high flush if the board is paired if you let them

the problem is of course he has some gutshots he peeled on the flop as well so he wouldn't be super happy about peeling again
so I'd actually prefer $0.95 here and half pot on the river and pray for a raise