You don't need to go to the US to start the company. It's just a paperwork exercise so you've got a company in a convenient form to sell or raise investment later.
What's staying in the US got to do with building a website? If you build a business that makes money, then it doesn't really matter where your arse is in the world.
How is any of this fundamentally different to the Tim Ferris-style of running your business from a beach somewhere? If you have a web-based business your physical location only matters if you need millions of dollars to run it - and if that's the kind of business the OP is planning, then he needs to rethink his basic model and come up with something more appropriate to his situation.
If you are building a company that can only survive with capital funding, the funders will care very much where your arse is.
The TF model is much much smarter, but it also requires the guts to create a valuable product that you can charge for directly -- not the dream of creating a delicious startup snack to be gobbled up by Google.
What's staying in the US got to do with building a website? If you build a business that makes money, then it doesn't really matter where your arse is in the world.
How is any of this fundamentally different to the Tim Ferris-style of running your business from a beach somewhere? If you have a web-based business your physical location only matters if you need millions of dollars to run it - and if that's the kind of business the OP is planning, then he needs to rethink his basic model and come up with something more appropriate to his situation.