There is no way to deal with this without getting some kind of visa.
If you want to get married in the States, and then live in the States, she will need to get a visa from the US government. (I know practically nothing about immigrating to the US, so can't give you any details, except that my understanding is that it's easier to immigrate to the UK than to the US).
If you want to get married in the States, then move to the UK, you will need to get a spousal visa to live in the UK. You can work while on a spousal visa, though.
If you want to live in the States, go to the UK just to get married, then move back to the States, you will have to get a marriage visitor visa to get married on a visit to the UK, then she will need a US visa to live in the States.
If you want to move to the UK, get married in the UK, then stay in the UK, you will need to get a UK fiance visa. Once you are married, you can get further leave to remain as a spouse, which will allow you to work.