I have done quite a bit of solo motorcycle camping. So far, I have never had a problem and have met plenty of great people. I made a decision about 10 years ago that I would not let fear stop me from traveling and camping alone.
Now, of course you should always be aware of your surroundings and who is in the vicinity. Take the normal precautions as any women in the USA needs to do, but don't let it stop you.
I really enjoy doing these things alone. I also enjoy my trips with friends, but I think my solo trips have been some of my best.
Here is a picture of my "bike" on my last trip.
Burning fat, building fitness . . . one mile at a time . . . one hill at a time.