What are some companies in the US that provide a satellite internet connection?

None, unfortunately. You can however get cellular internet through AT&T, Verizon, Sprint, T-mobile or whoever through a broadband hotspot. I use one at my house and get up to 1.5 Mbps download speeds. Not too shabby for living out in the woods of Arkansas. You just have to check those providers websites for your coverage area. Basically if your cell phone works at your house, you can have broadband internet there.