My Big Dummy came with BA's;between myself,the bike,and the 45lbs or so I haul to my bike clinic,I'm rolling about 265lbs. The BA's roll well and give a good ride. I run them at 50/60psi fr/r;I've found the bike gets wallowy below 50. Zero flats,despite riding down alleys with glass and crap. Good traction in the rain. Can't speak to tread life,since I only ride it up and down the hill once a week(insert little old lady from Pasadena joke).
Two other bikes have 2" Marathon Supremes. These also ride really well(one bike is all alloy,including fork),roll great,have excellent puncture protection,and have super traction,but they're pricey and at your weight I think you'd wear them out quick. But if you're looking for sportbike radials for your bike,these are the tires.
I've also got a couple bikes with Kojaks(not 26x2",but they come in that size). Again,these are light,fast rolling tires,and they also ride good(my Hooligan is all alloy with a solo fork). I've never had any flats,but I've heard other people complain about them. They're basically cheaper versions of the Supremes,and if you don't have to deal with alot of glass/debris,you might want to consider them.
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C'dale BBU('05 and '09)/Super Six/Hooligan8and 3,Kona Dew Deluxe,Novara Buzz/Safari,Surly Big Dummy,Marin Pt Reyes,Giant Defy 1,Schwinn DBX SuperSport,Brompton S6L/S2E-X/M6L-X/S12 T Line