Travelling solo and on a budget it may pay you to check out
hostels. Mostly you can get a dorm bed for around $30. There are however some things you need to look out for., for your safety. I have stayed at dozens of hostels in the US. Some were fantastic, and others I would not recommend or want to0 return to. Don't let your first negative experience put you completely off. Make it a learning experience so you can decide on future stays. Neither can you go by any one chain of hostels. Even then you find some really great ones, and some not so good ones. Read the reviews, and note how old they are. The more recent, the better.
Make sure each bed has a locker allocated to it, which you lock with your own padlock (carry a medium sized padlock). Do not use lockerts for which you have to pay. Management have access to them. Keep all your valuables in a locked locker
at all times.
There are many benefits with hostels, you can cook your own meals, mnost have a free breakfast and free coffee/tea available 24 hrs. Often you will find that they run discount tours to local attractions, and/or have discount tickets to various venues. You meet many other travellers and can exchange stories with them. I have even given a ride to a solo traveller on some occasions. (That takes a lot of checking, as you are responsible for anything in your car.)
Despite being a grandmother, I still sometimes stay in hostels.
Lifey