Based on your numbers, you have 1660lbs (9200-7450) available for total weight on the truck. Also, on the rear axle, 3034lbs (6084-3050) available. But total weight trumps the axle weight in this case, so you are still limited to 1660lbs on the rear axle.
Don't know if the actual truck weight is loaded for travel (fuel/kids/dogs/firewood,etc.); if not, this figure will be even less. 1660lbs translates to a fiver pin weight of only 83-8500lbs (pin wt = about 20% of trailer gross weight rating). This is a small, light fiver to be looking for--AF definitely out of range; Heartland closer but still way over. Also, the highest capacity tire for a SRW truck will be about 3750x2=7500lbs max weight on the rear axle.
You are limited on RAWR and tire capacity--can't recommend going over any of these limits, but many do tow larger fivers with a 2500/250 model. No matter what, I would not go over the tire capacity on your truck. You can tow the fiver empty of everything, but you can't put that stuff in the truck, either.
Need more truck or smaller, lighter units to consider.
As far as weight capacities/ratings, mfgs have done a lot more recently to increase the capacity of the vehicles, but still a 3/4ton model is quickly overloaded by most fivers.
If you do go to a newer truck, get a 3500 model--more rated capacity for little extra cost. Or to do it right, get a DRW model...
And, welcome to the forum.
2016 Tiffin 40 QBH
2015 38RSSA, traded
2005 TK3 #1869, 10 yrs of memories,
2017 F450 KR--one more Ford is it
2009 F450 4x4-died; 2010 F450-retired