I live in my RV and use my summer RV park address as my residency and I have a PO box rental in town. The only place that wanted my actual residence was for my voter registration.
I needed an actual residential address for drivers license, voter registration, health insurance, car insurance, and certain banks (I churn cards and accounts, some had no problem with a commercial address as my primary, some required a residential address as primary in addition to whatever mailing address).
I'd be fine with your setup - having an address you return to as your permanent address, with PO box or virtual mailbox for mailing address.
I'm not planning to go fully nomadic, just curious about how the OP deals with this. The place I claim residency does matter to me - and TX, SD, and AZ don't currently work. If I needed to, I could use someone in my family as my perm address, the main issue would be healthcare, as they live about as far as possible from the places I would be living.