The way I have used in the past is use an alias email, buy and load my account with Amazon credit via a gift card I purchased via cash at a large local retailer where they sell them, and use that to order to a locker near me.
This way works well but it’s been a while since I tried this so not sure if this still works. I see no reason for it to not. Try making the account without a VPN at a coffee shop or something so it atleast won’t flag your account immediately even if you use/sign in with a VPN at home later.
That’s my best advice. Give it a try. Hope this helps.