DD was 8 the summer this happened to us. She stayed in the camp, but was miserable and I don't think it was worthwhile. (At 8, she had more perspective and internal resources than a 5 year old.) Lessons learned:

Social disappointment can make the experience unrecoverable.

Most camps that offer what you love doing at home... will be introducing that hobby to NT kids who have never done it before. Many camps run all day but only offer the specialty topic for 1/2 to 1 hour, and the rest is pretty much athletics and team building. After that summer we stopped signing her up for anything that offered a well-rounded program of FUN! because it wasn't a match. The next year we realized that even in specialty science camps, any camp without a qualifying test of some sort would not be at the right level.

If you have the energy, home-camp might work better: one planned activity or excursion per day, scheduled as a play date with a friend, if possible. For a socially uncertain kid, having to compete with hundreds of others for their best friend's attention can be completely crushing.