YOur probaly over weight before you start, YOu did say what the rear end ratio is, but my 2001 auto 4x4 3. 54 is even rate at 10,000 towing.
Yes your OK on GCVW it under 16,500 total that with either ratio rear end, the 4. 11 rate for 2,000 pounds more towing,
Good Luck