2/4 flop minraised.

[Ringo]

2/4nl hand recalled from memory. Villain has $250-ish, and I cover.

I'm dealt two red queens in mid-late position, and make it 20 to go after a limper. Only the button and I see the flop of:

Ah Kh 2d

The pot is around $45-50, and I make a continuation bet of $35. Villain, who is a pretty solid regular min raises. Folding here seems so lame, but calling seems like spewing chips.

There's the obvious flush draw - and in the actual hand, I called the minraise and folded to a 2/3rd pot bet on a heart turn. I'd be more inclined to call the minraise on a flushing flop, but even at that, still feel like im wasting chips. Anyone have thoughts on playing these situations?