Why would you go to such great length and then doxxing yourself by using Bitcoin.
Save in Bitcoin. Use Monero.
Discussion
When ordering online, you’re doxxing your mailing address anyway. Convenience of paying with bitcoin is the point here. Also lightning is pretty good privacy wise.
Lightning is nice, but it's still limited to smaller amounts or you need to rely on a custodian.
If you do proxy shopping anyways you can add more proxy (s)hops in between. Sending to a box and not yo your address also helps with some attack vectors.
That's not an excuse, if you want to spend huge amounts of Bitcoin anonymously, use Coinjoin.