If you’re not having any luck with TransferWise, give World First a try. Their rates are excellent (sometimes a bit better than TransferWise), though I think the initial account setup is not a slick. However, once you have an account, you can set up transfers online, and they have US bank details that the person sending the money can use to deposit into. They will then convert at the booked rate and deposit in your UK account (which could be your Monzo card, using the details for Topping up by bank transfer).
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