You have so many options. If you want to play it safe and per the weight police rules, shop by GVWR of the trailer and watch how you load the truck. You may never load the trailer to this weight, but it may better insure you likely will not, fully loaded. This is a "safe" method to shop, its not the number everyone TT shopping needs to look at.
Nearly any TT with a GVWR of 7500lbs or less will be perfectly suited for your needs. Select a good WDH and brake controller (if not already equipped in the truck) and drive smart.
If you are brand new to towing, then smaller trailers, around the 24' range would be best. Longer, heavier trailers require more knowledge and planning than lighter ones.
Just be aware, weight alone does not make you safe or unsafe. But towing well within and below all your trucks ratings make for a more comfortable and pleasurable experience. You can still have a poor set up with a light TT and travel at risk. Don't be fooled by weight alone!
Take a look at these for bunks with lots of interior room;
Gulfstream Vista series
Gulfstream 26BHS, 28BHS, 828KS, 830RB
Coachmen Apex 26BHS & 28BSB
Jayco Salem 26TBUD, 30KQBSS, SC-294QBLE
Keystone 29RBKWE, 2920BH, 287QBS
Palmino Solaire 28QBSS, 28QBSK