I had the reverse happen in a NL$200 buyin game. I Turned top two with
![The Eight of Diamonds [8d]](https://pofex.com/images/smilies/8d.gif)
out of the BB and pushed all-in on the Turn - the player finally called my with a set of 8's - he thought I had turned a straight and almost folded.
In your case, I would have to see my set of 6's beat before I would have folded them.
BTW, no show no believe. He said AA but could have had a better set or not.
Don't lose your entire stack in an unraised pot or with only one pair.