At 237# (4 months ago & before) I found the venerable Continental GP4000 700x25 tires worked well. Lots of miles, zero flats until the sidewall failed. I run about 100 PSI up front and 115 in the rear. Unfortunately ProBikeKit.com is out, but that's the place to buy them (delivery takes 5-7 days, IIRC).
Good luck.