What year would the Tahoe be? I towed a 5000# GVWR hybrid TT with an 05 Suburban with the 5.3L/3.42 axle and with 6 of us and two dogs the thing towed great. I had plenty of get up and go with that set up. I always towed in D (third) with tow haul on.
If you are refering to a newer Tahoe with the 3.42 axle and it has the 6 speed there should be no problems towing a 3800# TT, even if that is the dry weight.
Kevin and my...
Wife and six kids
2017 Suburban (5.3L/6A/3.08)
6x12 Enclosed Utility
Sold...2011 Express 3500 (6.0L/6A/3.42)
Sold...2010 Passport Ultra Lite 2910