I'm not a numbers guy...but I think that's pushing it.
I towed a 25' RV (5,000 lbs Dry) with an '01 Tahoe Z71 with an Equal-i-zer hitch. It towed it, but it was sometimes a white knuckle ride. The wheelbase is short on the Tahoe, and towing near it's capacity causes it to search gears a lot. Sway is calmed down with a good hitch...but you will still get some sway with this vehicle setup. SWAY IS A KILLER.
My advice: No way would I consider a 31' RV with this tow vehicle...
PS...the Tahoe's rear differential disintegrated. ($1000) I paid to fix it, then traded for a truck.
Pete (Jolly Mon)
2014 Jayco Whitehawk 24 RBS
2004 Nissan Titan LE, 4x4