My thinking is you'll overload that 2500. Dry (and who uses dry?) pin of the 379FL is 3000lbs. Dry weight is 13,800. GVW 16,000lbs. Only 2200lbs for cargo? Not nearly enough for full timing IMO. Figure you'll lose 200lbs of that with propane and batteries.
Looking at some on the internet they seem to come in at around 13,890 and 2050lbs for CCC. That would put the CCC at 1850lbs after adding propane and batteries.
With the dry pin at 3000lbs and now adding 200lbs for propane and battiers you're at 3200lbs. Add 200lbs for the 5th hitch=3400lbs. Now add front basement storage, bedroom items. All that will add to the pin weight. Since you're going full time you'll be taking more than the average camper. So figure another 3-400lbs on the front IMO. That puts you around 37-3800lbs on the pin. Pure speculation of course. But from my experience anyway I figure around 5-600lbs added to the dry pin.
Your trucks RAWR is around 6200lbs? So you'll be over the trucks RAWR and GVW and GCVWR. You would need to upgrade your tires to ones that are rated at 3750lbs each. Of course add airbags.
I wouldn't do it, but of course it's you call.
I would also check out other 379FL owners here Grand Design Owner's Forum