I would just bet enough to find out if you are beaten. He will put you on a range of hands including AK, AA and KK. Most people would fold to another 1800 without a K or better. If he doesn't have a K, his stack would still be reasonable if he folds but short if he calls and loses. So I don't think he would call 1800 without a K or better. There is no way he would bluff raise. Say you had a great hand instead of QQ, how would you bet? You would probably try to get his chips in slowly rather than push all in. So the 1800 bet could look like a strong hand, although it could look like a continuation bet as well. If he doesn't fold to 1800, you are probably beat and I would then fold to any bet or raise. At least you would still be in the game, albeit with a short stack.
Welcome to blonde, i can't wait for Lloyd to find this, sigh.