You can go to Shanxi. Maybe the tourist attractions in Shanxi are not very famous, but I think it is quite suitable for you to go alone. I went in October.
I went to Wutai Mountain first (I don't believe in Buddhism either, but Wutai Mountain is really worth visiting). I went by train, and then I went up the mountain by bus for about an hour at the station. If you want to go in October, I suggest you take a thick coat. I went in early October and caught the first snow of Wutai Mountain. It's really cold on the mountain. You don't have to worship Buddha. The scenery of Wutai Mountain is actually good.
If you don't want to go to Wutai Mountain, you can go directly to Pingyao Ancient City. Take a stroll, look at the ancient yamen, look at the Chenghuang Temple, and taste the old vinegar in Shanxi. There is a utopian bar in Pingyao ancient city, which is especially like Dali's style. You can go in and sit if you like.
It takes less than an hour by car from Pingyao Ancient City to Qiao Family Courtyard. I believe many people have watched TV series! Don't you want to see their patchwork courtyard for yourself? I can't describe the grandeur of the jstars courtyard.
The Jinci Temple in Taiyuan is a must, even if you don't like the scenery, it's good to worship your ancestors. This is a tour route that is suitable for one person without joining a group and can be combined at will.
If I want to go to a particularly far place alone, I will choose to join a group. For example, if you go to Yunnan, the scenic spots in Kunming, Dali, Shangri-La and Xishuangbanna are far apart, so it is difficult to walk all by yourself. Compared with the group, it saves time and effort.
A person's relaxation is more suitable for the nearby suburbs or tourist attractions that are not fully developed. Quiet, carefree, a person can spend a day in a daze.