Looks like you have all your numbers, which is a good start.
If you go by the door jamb GVW you have 1540 payload (7500-5960)
If you go by the axle ratings you have 1840 payload (7800-5960)
Looks like you numbers for the 2400 are really close. You added propane, battery, and WDH, which is good.
I think it's doable. I'm sure you'll get lots of options though!
EDIT: For comparisons sake, my trailer is 5300 dry, 6500GVW
Truck is in my signature. My only complaint is being down on power for steep hills.
I doubt you'll have that issue.
