I did the very thing you are talking about in December!!
I had two very large duffle bags with my gear and clothes and my folding arm chair.
I brought two small tents (one for me, one for my gear),
a sunshade/rainfly
air mattress,
linens,
necessary clothing,
shower necessities
two battery lanterns
flashlight
luggage locks that I put through the zipper pulls on my tents when I was away.
I didn't have any expensive items with me, and my airline ticket was an electronic ticket.
I arrived at Ft. Wilderness late at night. They had no problem with taking me by van to my campsite. They even stayed at the campsite with the van lights on until I found my battery lantern.
On my checkout day, after all my gear was packed up, I just went to the house phone at the bath house and asked for a pickup. A van came right away. Ft. Wilderness stored my luggage just like any other WDW resort.
The only thing I might have done differently is ask if there was a campsite closer to the bath house. I noticed the next morning there were lots of empty campsites, but late at night in the dark, it was harder to tell.
Also bring a long extension cord (at least 20 feet) and a small fan. Even in the cooler temperatures, the humidity is high. My bed sheets seemed to be not quite dry even after having the tent windows rolled down all day.
I had all my purchases delivered to Meadows Trading Post and waited until the last morning to pick them up.
Hope this helps!!!