You have one of the more entertaining writing styles I've seen in this forum. I like it.

Are you familiar with the warmshowers list? http://www.warmshowers.org/

I can't think of too many laws you need to be concerned with other than the obvious one of biking on the right side of the road.

As for attractions, America has more than its fair share of natural attractions. Some of the finest and most unusual scenery on the planet is located in the western US, and it's generally a lot friendlier for biking than most of the cities here.

It's important to time your trip properly. Most of the country has very hot summers (much hotter than you're used to), with high humidity in the east and very dry air in most of the west.