TD 2-7.. improving from a 3 draw to 1 OOP

[InWithTheBest]

In HU and SH play (where i am most likely to be drawing 3 out of my BB) I tend to play differently than most when I improve to a decent 1 draw (Draw to a smooth 86 or better). A lot of my opponents tend to check raise in this spot. I prefer to just bet out. I get raised probably 50% of the time when I do this but id rather put in two bets here than three if I check raise and they 3 bet their pat hands. I never am very comfortable building very large pots when Im OOP even if im drawing perfect. I feel like betting out is the best way to get a reasonable amount of money in the pot while protecting myself from getting 3 bet. What do you guys think is a better way to play this?

Thanks