31 would be the ceiling to me. In fact that's in the attic to me- that's just my humble opinion. But, with the right equipment, and being a cautious driver- I think you'll be ok. I am not certain if you have any towing experience- but if not, this will be trial by fire. You'll either power through it or hate the experience so much that you give up on it. That's why many use the graduation system when first getting into it. Just be prepared- you may have a couple wide eyed moments
Just for figures, I calculated the remaining payload you have after passengers (rounded to 1000lbs) for a 15% TW and you should be looking for something in the 66-6700lbs GVWR max. 15% is the high end, but that leaves you some cushion. You have a class IV receiver- you won't want more than 1000lbs tongue weight on that continuously.
For me- I'd look at 26-29' travel length, 6400lbs gvwr to give you some cushion- or less. Slides weigh a lot. Look at axle placement and profile. Low profile frames (lower to the ground) and axles set further back make a more stable tow.
What are the criteria you have? Sleeping capacity? Luxuries?
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