Create an Electrum wallet. Find a friend who has Bitcoin. Meet for lunch/dinner. They transfer ~70 mBTC to you, with a 1-2 mBTC fee. After 2-3 confirmations, you give them $710-$720 cash. Done.
Well, OP could just ask about mailing cash, instead of using Bitcoin ;) And do recall that OP has been banned by Coinbase, and doesn't want to pay over 1-2% fees. So they're a rather special case.
The 3% fee here is the same as a credit card but without any of the benefits, since a credit card nets you purchase protections, extends the manufacturers warranty, 2% or more in cash back and you don't have to pay it off immediately, and it also clears in seconds instead of hours. And the merchant pays the fee not you. Am I missing something?