Yup, where ever you list your residence on the C&R, they can send the rifle. Cannot have a P.O. Box or APO, it has to be a physical address that you, in one way or another, inhabit, i.e. home or work. Or, workshop.
I forgot to add, the firearm has to qualify as a C&R by ATF standards. If the seller won't transfer to a C&R then you have to go through an FFL, simple as that. Fortunately, the ATF is going to the 50 years or older of known manufacture. However, if you have an AR-15, you have to have a way to show the lower is old, like a s/n that matches something 50 years ago. You can't slap a bunch of nostalgic shit on an AR with a lower that was made last year. That's gotta go FFL.