A.F.
J.,
I am glad you have received some offers to meet with other moms! I respond to you because I felt your worry and frustration, when reading your post.
As a parent of an 11 and 7yr old, I was reminded of what my mother seems to continually respond to me with, when I discuss my frustrations and worries. That is: "And your child is how many years old? You expect them to comply with or agree with what you say and want?" It seems like I often expect too much from my mature and smart first-born. and that a few months later, or years, I realize that I missed out on just being with him and allowing him to be himself.
A 10 month old is still an infant and your baby is trying to make sense of this world. I understand the need for your workout time, as well.
Have you considered the environment of the childcare area. All that big, space and other kid's and people's feelings and actions is a lot for a little mind to process. Maybe checking in with her after 10 minutes and then resuming your workout (classes may be more difficult to do this with) when she is recharged and more balanced??? This may let her see that she will be safe and you will be there for her. It may allow her to gradually let you be away longer?
If, in this stage, it is just too much for her to cope with; At least the weather here is pretty cooperative and walking, hiking, etc. are available for you both to do together.
Your thought of a play group will be wonderful for both of you, I hope you find great moms and kids to be with.
Enjoy parenting, A.