so technically the company will not have any employees
No can do. You'll have to have some employees. Depending on your State laws, you'll need to have at least certain specifically enumerated officers (CEO, for starters). It may be that a single person will be named for all the positions (again, depending on the State laws), but you probably won't be able to have a Corporation in the US without a single employee.
All of the shareholders (myself included) will be NRAs (non-resident aliens), so what taxes are involved there?
US sourced dividends are taxed by the US. So you'll pay the US Federal and State taxes. That's on top of the taxes your home country demands. There may be a tax treaty between your home country and the US that will affect this general rule.