Those BFGs they recommended will be loud as hell on the road with that super aggressive tread style. (and they are also really expensive and wear out quickly).
Another vote for the Yokohama Geolanders. I use 265/75x16 in load range E for our 1995 K2500 diesel Suburban on more recent GM PYO aluminum wheels from a 2002 3/4 ton. The Geos last a long time, are quiet and I have never had a problem balancing them. I am on my third set. Given that you tow, I would definitely use a load range E otherwise you are at the max load for just an "SL" rated tire running on an empty Suburban.
I usually go with discounttiredirect.com as they have free shipping. Here's the size you are looking for:
http://www.discounttiredirect.com/di...ca&exposed=ldr
Also, wait til Labor Day. Yokohama and Discounttire usually have a holiday rebate debit card of $100 in addition to Discount tire's usual $60 rebate at the same time. They just had one for the Fourth of July sale.
Too bad yours isn't a 3/4 ton otherwise I have a set of 8 lug (very heavy) steel wheels from my 'Burb.