Nut str8 3 handed

[goblue2k6]

At this time I have a super tight image at table, even though I hadnt bought in half an hour ago, Villain is LAG and button is TAG.

1 2 PL on Stars, Hero has 8 9 A Q in small blind and completes. Flop is 6d 7d 2s. 10 in pot, Villain bets 3 button calls and so do I.

Turn is 5c of giving me nut str8, I check, and villain pot bets something like 19 dollars Button calls, I repot all in for 48 Villain calls, and Button repots to 200 putting Villain all in. Villain calls

River 10d. All money is in Villain had K high flush draw and 2 pair on turn hits flush on river, duh!! Button had same str8 as me.

How do you guys think I played this? Is there anyway to get off it, even if I put one on a set and other on diamonds am I supposed to fold there? How about if I think someone has my hand and the other is drawing, is there fold equity to be had? All comments appreciated