Chris,
We had exactly the same idea for transfers, just use crypto.
While transfer itself is not a problem, it also seems to contradict current Russian law (I don't claim to know all the nuances but hear me out).
Effective 2022 or so, any Russian citizen now has to report purchase of investment assets (which crypto is considered to be). With an intent that these funds at some point are coming back to Russia.
So when you transfer say a payment from a plastic debit card or even wire transfer to an exchange, that transaction is reported by the exchange (so long it is regulated in/by Russia), but even if not, any operating bank will also report such transaction to any regulated exchange as such (investment, etc). It is also not currently possible to buy foreign assets my understanding, which means you can only use regulated exchanges, who do not allow foreign assets.
While it is technically possible to do so, whoever the depositing side from Russia is - that entity/person now is subject to prosecution, up to felony with no right to leave the country. I imagine in small transactions it's not relevant, or until someone cares. But technically, you can end up being stuck permanently or worse jeopardizing whoever is aiding with outbound transfer if they do not understand consequences.
This is just an observation, which could be incorrect. If so - let me know.
Did you all seek legal help to determine whether crypto transfers can be structured as such that keeps them legal within Russian jurisdiction?