I would give you a definite "maybe" if the trailer's final weight were 7900lbs, and it was only you and your wife traveling.
However, if the trailers are STARTING at 7900lbs, they will be pushing 9000lbs by the time they are loaded and ready to camp. Tongue weights will be anywhere from 1150lbs to 1350lbs, which is more than the factory receiver is rated for.
Even if you ignore all that like some will tell you, you may not like the towing experience, especially on long trips. You may feel that it's okay at first, mostly because you have nothing else to compare to and you're trying to justify your purchase subconsciously. Over the long term you may start to notice things aren't so great.
There's no guarantee that you will end up feeling one way or the other about the towing experience, but you stand a better chance of liking it in the long run if you don't try to push or exceed the factory limits.