It would suck.
I would bet the towing capacity of a van like that is only about 3500 lbs. If the DRY weight of the trailer is already at 2600, that leaves you 900 lbs of you, your stuff, your food, and your water. So that 900 lbs will be exceeded very quickly. The factory cooling systems and braking systems on that van won't be nearly sufficient to add this kind of weight. On top of the weight, a travel trailer has a lot higher profile than most other trailers of that weight range, so it will be even harder to pull.
IMO, I wouldn't try much more than a small pop up behind the van.
2007 T-286SR Cherry/Granola, #6236, original owner, current mileage: 9467.8 (as of 5/26/19)
1997 T-2653 Blue Denim, #5471
1979 12 1/2' MC, Beige & Avocado, #4639
Past Sunlines: '97 T-2653 #5089, '94 T-2251, '86 T-1550, '94 T-2363, '98 T-270SR