I'm sure others will chime in soon with some room location recommendations but I would think in general DisneyWorld is a pretty safe place, as long as you stay aware. And, taking the buses means you'll more than likely always have other guests around so I wouldn't worry about that too much.
I've actually been considering a solo trip myself but not sure if I'd have enough fun on my own to make it worth my while. No doubt, my hats off to you too!
I have both an extra airline ticket I need to use, (would need to pay change fees of course), and a five day park hopper ticket that we acquired one year when my wife had to back out at the last minute. I've been so tempted to check out the refurbs at the Caribbean as I have some extra time but ... well, I don't want to make excuses but I'm kind of feeling ... um.. well... chicken, ha ha! I do live far off, in Oregon, so long flight and all. I just feel like I might feel weird missing my kids or eating alone, how do you do it Denise?