YES! I go all kinds of places by myself. My most adventurous thus far was the 3,000 mile drive from here in NC to Olympia, WA. I lived there for six months, and had a WA. Adventure. Ive lived in 11 states now, and I take road trips whenever I can. Im big on camping out, usually within the state park system to be safer. You are in AZ. Have you checked out Havasu Falls, The Painted Desert, or the Petrified Forrest? The south west is littered with great parks, and camping. Southern Cali is not far from you and offers many preserved coastal pockets to observe the wild life. Go Explore!!!
Might I ask what kind of car you drive? I have an old Hyundai Tuscon 4wd. I can put an air mattress in the back, and pack enough food/drinks for about a week. I can sleep in it to get away from the wildlife, in areas where they might be a problem. A small tent and air mattress from a discount store (or online) can be picked up for less than $40 for both. Depending on how much you want to rough it campsites can be found from $15 to $50 a night.
Ask me any questions you like. Ive travelled through 48 states. When in WA. if I could have some someone to go with I would have driven to Alaska. Thats not a trip to take as a female alone though. Too much wildlife and wilderness on that 3,000 mile haul. I find unplugging from the world to be a wonderful way to get closer to God. I don't mind roughing it, but its not for everyone. I do like campfires, nature trails, exploring our park system, and doing it on the cheap. I have all kinds of pointers if you are interested.