I don't think would broadcast a non standard transaction like an any-one-can pay transaction
Broadcasting a non-standard transaction isn't hard. It's just that it probably won't get confirmed and no one else would be seeing it.
If you want a non-standard transaction to be confirmed, you would need the participation of the miner. You're better off contacting various mining pools for their help. F2pool[1] accepts non-standard transactions IIRC, but you need to ask macbook-air to get the referral code.
[1]
https://www.f2pool.com/pushtxMacbook-air doesn't accept messages from newbies. Is there another way to get a referral code or another pool's pushtx that will relay a non standard transaction?