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I'm not aware of any. I would be glad to hear if there were other solutions. Mail is very not private honestly. I remember Sam Bent mentioned something like the post office logs and retains the logs for all the mail that goes to you with to, from, and the names and addresses of both. Most of what you want to do here will cost extra and/or shift trust instead of eliminate it not dissimilar to using a VPN. Welcome to the dystopia.

For proxy shipping I've tried and liked anonshop.app. He'll do any site not just amazon, I've bought stuff off of eBay and vendor sites through him too.

List of proxy shippers on monerica:
https://monerica.com/businesses/proxy-shopping