Tow ratings for full sized half ton SUVs is in the 8000-9000 pound range with each manufacturer's optional towing equipment. When it comes to towing a travel trailer, some other rating is likely to be exceeded under the tow rating. Receiver ratings are in the 900-1000 pound range which means 6500-7500 pounds loaded TT. Payload may be a limit with a larger family. Rear axle ratings also get really close even with a WDH. So make sure you verify all the vehicle ratings as well as estimate with your family's weights while traveling.
I would say under 6k dry is a realistic comfortable limit for either late model Sequoia or Tahoe that you listed as long as you do not plan for 700+ pounds of family in seats. Make sure whatever you pick has the heavy duty trailer towing/trailing package.