Who (FFL) around here will ship a gun?  Say if I sold something and their FFL would only receive from another FFL.  

AZ guns used to ship out to another FFL for a small fee, but they no longer will.

Side note, They also told me they have to pay $50 per gun for a background check on any firearm that they buy used, so they deduct that on any offer they give you.  I took my UZI 9mm down there, and he offered me $150 for it.

I've shipped firearms through Scottsdale Gun Club.

How far east?

AJI ships for people that need FFL to FFL, but I don't know the fee.

All gun stores offers are stupid low like that, some are just worse than others.
I would just list it on here and/or AZS and sell it local only and see what you can get.

Why do you need an FFL to ship a gun for you?  You can do that yourself. I've used shipmygun.com dozens of times to ship firearms to FFL's in other states for stuff I've sold on the EE here, gunbroker, etc.

Sounds like the receiving (buyer's) ffl wants it from another ffl for whatever reason. Shipmygun won't work in op's situation.