There’s no real way to do it. Unless you know someone who can trade you XMR<->cash and you somehow convince your employer to (break laws and) pay you in those forms, you can’t avoid it. At some point, you’ll have to get money on a real bank account, which requires real information to open.
Yeah withdraw cash from an ATM and use it. The system sucks, but it’s not trivial to change for a myriad of reasons.