I did what was kinda technically a 12 night solo trip in January and stayed at POP. I brought DD down to get her set up for the college program. She stayed with me the first night and then a few select hours the second night, but she had to be in line for housing so blessed early, like the middle of the night, I wouldn't even consider it a night. The rest of the time, I was by myself. Anyway, I felt very safe!!
I am heading back to POP this Sunday for 5 nights to visit DD. Since it is kinda an unplanned trip, I decided to stick with the less expensive resort even though we are getting 60% off with her CM discount! (the room is only $58 a night. Total hotel bill is $325. ) So I decided to splurge and we are getting the
DDP for my visit since it is only $30/day for CMs right now!! I have an AP so I don't need a ticket. So hopefully DD and I will get some great visit time together!!
I wouldn't hesitate to stay at a value while solo. I think they are extremely safe! Personally, at POP I don't find the areas I stay in to be all that noisy but I don't stay by the main pool or in the 80's/90's sections. There are people moving about but not 'that' many. I'm a NIGHT OWL!! When I go up to the food court for my final midnight refill, there are not very many people out milling around. In January, it was pretty DEAD! Now in July, it is busier. But not crazy busy, and I much prefer late night.
Good Luck with your decision.
But as other posters have said, just like at home, always be aware of your surrondings!