Both those things help me get into my body more, and help me feel safe in my own skin. They help me feel better about myself too.
I think it's great insight that hobbies can help you connect to your body in a safe way, and I think this is important for us folk who have issues with that. Yoga is great, and there are many types, so if you try it and don't like it, you might want to try an entirely different kind before deciding it's not for you. I like to pair the quieter kinds (with relaxed, long poses) with meditation, and I find this to be relaxing. There's also something about learning to be relaxed in a room filled with strangers that feels healing to me.
Who knows, yoga may not be for you for whatever reason, but I'd encourage you to keep looking for a physically engaging hobby. Even relatively intense exercise can be good for body awareness (e.g., focusing on using certain muscles to lift a heavy weight, or actively remembering to breathe through a hard sprint). Finding an activity you really enjoy--where you feel like you can get "lost in the flow" and just be in your body--feels especially energizing and healing. So, maybe play with a bit, and try out different things to see what feels good?
I have come to see exercise as a core part of healing and of a healthy life here on out. I think of it as a great way to accomplish many goals at once that are important to me, including body awareness, stress management, building self-nurturing (I see exercise as an investment in myself, a gift), building self-esteem (it feels good to stick with something and get better at it). And, of course, there are the physical health benefits!
Whatever hobby you end up taking up, I hope it helps with coping! Let us know if you find anything that works. :)