I think you can have a wonderful time traveling alone. I know lots of women do it by themselves.
FYI: Here's a ladies only group you might want to check up on. I'm sure they can give you tips and help and suggestions and do's & don'ts. I met some of the ladies at a State Park in Northern Indiana this past summer and they are a delightful bunch.
As one woman said to my wife and me, "No pet, no kids, no men!"
Click here. Enjoy their web site. Their vintage campers are fantastic!