Musicians moving to Iceland from USA

My husband and I fell in love with Iceland after spending some time there and are considering moving. I am having trouble figuring out exactly what the requirements are as far as work visas, etc. for US residents that are artists and business owners.

We are in a band together, and he runs his own business as a music producer and composer. I'm wandering if it is possible to move our business and open a studio in Iceland, or if US residents typically need work offers from Icelandic employers to be able to move? I know a lot of people are seeking general moving advice, but I'm having a hard time finding info on our specific situation?