270 pounder here. Conti 4000 25s is what I use. (4000, 4000s, 4000 whatever, doesn't matter - it's all the same stuff according to the Conti rep at NAHBS a couple years ago.) It isn't the best rolling or the most durable or the most flat-resistant or the most reasonably priced, but it is the best blend of the four I have found. Look for specials on ProBikeKit or Ribble and you can still get them for ~$45 per
I run mine at 120psi. I puncture once or twice a year. I've never had the sidewall issues some people talk about with Contis. YMMV.
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"I'm in shape -- round is a shape." Andy Rooney