Welcome to the forum bud!
Many folks here will freak out at the proposed setup you're thinking about towing.
Yes class 3 hitch. Yes weight distribution absolutely, if your vehicle is rated to do that.
No need to freak out, but your vehicle is certainly at the top of it's ability to pull that camper for several reasons.
1. Extremely soft rear suspension.
2. Not meant as a tow rig, watch your temps and make sure maint is up to snuff.
3. Make sure the trailer brakes are setup well and working as designed.
4. You live in the wrong state to be towing over the wight limit with a marginal tow rig. You can't go far in any direction form SLC without real grades to pull or come down. Altitude means, if you head into the mountains, your marginal 260hp minivan is now a 200hp minivan.
Honestly, I wouldn't invest $ in the van to pull that camper unless short local trips. I would not want to hit the mountains loaded for fun with that as a tow vehicle.
Safe? yes I believe the size and weight of the van will not get man handled too bad by the trailer. As long as you have good brakes and trailer brakes and know how to drive in the mountains with a vehicle twice the weight of what it normally is.
However be prepared to put the 4 ways on up and down the big grades and taker slow.
