Yes you don’t need to fill an annual report there in New
Mexico but you still need to file
IRS forms when the tax year ends just like with others states. Also the state annual report is not an issue since most of the registered agents do that for you by free.
About
TransferWise, you can open one for all LLCs in US easily as long as the owner does not live in a country blocked by US’s gov.
About the accounting, you need to keep records but you are not required to show the data every year, is just to have a backup in case of an audit.