I don’t know of any where you are, but I know an order of nuns that gives them in Missouri. They have a convent in St. Louis, with a “solitude” in one of the suburbs. But the one I’m most familiar with is their solitude just outside of Marionville, MO. It’s called “Queen of Heaven Solitude.” It’s out in the country, off a two lane road. You can look it up on the internet, I’d tell you more but I can’t seem to find my little pamphlet about them.
You would have your own “hermitage.” Basically a small building just big enough for a bedroom and small bathroom. One of the nuns would get with you each day to help you along. You eat your meals alone, and are as alone as you want to be. You can attend their prayer times 3 times a day, and also ride with them into town for daily mass.
It’s a beautiful place, and I got a lot of help from my retreats there. It only costs what you can afford to pay. I hope this helps.