Which Goodyear tire model?
Check the weight limitations on your existing tires. Compare them to what you think / though you may need. I bet they are close............
Compare to rear axle max weight allowed.
I would guess (hope!) the rear tires max load exceeds the rear axles max load on a 1500
series Suburban. If so, you will run out of allowable payload before you exceed the tires max rating.
Weigh the TV, (ready to camp / tow) and by axle.
Weigh the TV (by axle) with the TT hooked up (once with WD bars off and once with WD bars on if possible)
You "might" be fine................it depends.
Do not exceed max payload available on the TV (includes tongue weight)
Do not exceed the tire load capability by axle. (rear includes tongue weight)
Do not exceed axle capability.(includes tongue weight)
Do not exceed GVWR (includes tongue weight)
Do not exceed combined GVWR (TV and TT)
Clear as mud?
FYI - I pull a #5k trailer with a #650 tongue weight with Michelin P265/60/18 LTX A/S 109T (2271 lbs. rating) tires on the TV - a F-150 SuperCrew. My rear axle rating is 3,850 lbs. so the tire's max exceeds the rear axle max by a large margin. (2,271 x 2 = 4,542) I will run out of payload or GVWR before I exceed the tire's limitations.
I'm guessing, and please double check, but I think you will be fine.