As another commentor has noted in this thread, routes may not always be ideal because they often have to use existing available road infrastructure, so be careful and check road conditions in advance (and if you can, provide feedback to other cyclists and local communities) - but cycling can be a unique and self-determined way to explore that you'll rarely find in any other kind of travel.
In my experience, Wyoming was one of the most pleasant states to bike across (apart from the bits of interstate you need to take). Highways with wide shoulders and little traffic. Just get started early to avoid the afternoon wind.
https://www.adventurecycling.org/
As another commentor has noted in this thread, routes may not always be ideal because they often have to use existing available road infrastructure, so be careful and check road conditions in advance (and if you can, provide feedback to other cyclists and local communities) - but cycling can be a unique and self-determined way to explore that you'll rarely find in any other kind of travel.