I'd love to travel and work but I work for a U.S. employer and need to keep a U.S. address, which is an expensive requirement if one doesn't already own property!
No.
> I'd love to travel and work but I work for a U.S. employer and need to keep a U.S. address, which is an expensive requirement if one doesn't already own property!
How much of a resident do you have to be in the U.S.? Just an address you can receive mail at: https://www.postscanmail.com/. They have a ton of locations, if you want no state income tax + high CoL (for employers doing adjustments): Seattle. Note there's some issues with using these types of addresses (specifically those designated as Commercial Mail Receiving Agencies by the USPS) with some banks and credit card issuers. Probably your employer would be fine with this.
Bona fide South Dakota state residency if you spend a night there: https://www.dakotapost.net/south-dakota-residency-services. Probably not necessary.
Mail receiving services scan your postal mail and you can see it online. You can decide to download it, trash it, or forward it to another address. They also receive packages and will forward them. Some will even deposit paper checks for you, though I found I could download check images, add my signature with a photo editing program, then deposit with my bank’s mobile app by photographing the check on my laptop screen (I had clients who paid with paper checks when I was traveling).