It's something I dream of doing one day
Though hopefully DH will tag along (I'd go even if he didn't want to or couldn't). I think with careful route planning, adequate preparation and a prudent amount of caution, all would be fine. Sure, something could happen. But someone was attacked and killed in the parking garage where I park to go to the courthouse. Not trying to spook anyone - just trying to point out that you shouldn't not do something you dream of doing because something terrible could happen - we face risks every day! From my perspective, you have to go forward with living your life and not focus on what might happen.
That said, I have the impression that few women have encountered problems touring.
Hopefully DeniseGoldberg will chime in - she's done lots of touring, I believe mostly(?) alone, including a cross USA trip. In fact, I've been following her current tour over on crazyguyonabike.com (speaking of which - that's a great resource - lots of trip reports, with the option to filter by gender).
Enjoy it and, of course, keep us posted on your planning and write a trip report!
Most days in life don't stand out, But life's about those days that will...