Go for it!
Really, that's all the advice you really need. What do you need other people for? When you are by yourself, you have the luxury of traveling at your speed, stopping where you want to stop and choosing the route that you find interesting.
The thing I found on my tour, as opposed to a group ride, is that I am forced to interact with the locals wherever I am. There is no hiding behind a group leader - and people tend to want to talk to you because you are obviously an interesting person - riding your bike on a tour, and all. A solo tourist is approchable.
If you need inspiration, look on http://www.crazyguyonabike.com. Several TE members have journals up there. Denise Goldberg has gone on several nice cross-country jaunts, to name but one. I have a journal posted there (Spring Fever 2005), also.
Don't forget to take pictures.
Give big space to the festive dog that make sport in the roadway. Avoid entanglement with your wheel spoke.
(Sign in Japan)
1978 Raleigh Gran Prix
2003 EZ Sport AX