Though not yet operating in the US, this startup seeks to provide a solution for immigrants and expatriates who would otherwise find it difficult to open bank accounts according to TechCrunch: https://techcrunch.com/2017/01/03/monese-series-a.
The UK-based company is focused first expanding into Europe, and no only seeks to provide a solution for payments but also for remittances – sending money to family back home. Monese now operates on primarily a monthly fee model rather than a fee-per service model (though it still charges additional fees for currency exchange).