On that note.......
Absolutely! We spend more than 25 winters exploring the pyramids of Mexico, Belize and Guatemala. What an amazing thing to do! You will find that you won't be the only solo traveler and when traveling in Mexico and Central America, everyone shares their information.
Yes, you are safe here. Check the US State Department list of states that there are advisories on and make your decisions. We live in a Guerrero, a Do Not Travel state, and feel perfectly safe, more so than we did in a small, tight community in California.
Do your homework on ruin sites and keep your plans loose. Two months, at least for us, would only give us enough time to visit a couple of major sites and a number of smaller ones if that. For example, 1985, in a tent, we figured we could see Chichen Itza in a day or two. A week later we moved on and have returned several more times. There are a number of very small sites that have some extremely important, extremely different things.
So Jealous! We will be traveling again soon and our first stop will be Palenque.