Flop Situation: Hero opens CO + Btn Flats (reg) + Blinds Fold

I just am trying to figure out how to think about this situation (in pretty general terms) and I am going to try to think more about it in the upcoming week and focus on these situations during game play. Please let me know if you have any input.

Things that come to mind now:

-On whole do I or my opponent have an advantage (his position vs my impetus and uncapped range)?

-What player tendencies should contribute to how I decide what action to take?

-What boards to continuation bet and what ones to give up on?

-Should I have a checking range that is not check-folding (my intuition tells me YES Dumb-ass, but in practice I find myself rarely doing anything other than folding after giving up impetus) ?

Will post more thoughts and observations as they come. 

Thanks