The current cheap native 1080p Optoma DLP is the HD27, with 3200 ANSI lumens. It and the BenQ above are pretty much the only two in their class. Costco also sells it here for the same price as Amazon, just a few bucks more than the BenQ.

I've chosen the BenQ on price, slightly shorter throw, and on an ever so slightly lower fan noise rating. Arriving here tomorrow evening.