I stutter due to my OCD.

I stutter due to my OCD. I have this weird insecurity about sounding unintelligent (I try to use my vocabulary to the fullest) or grammatically incorrect when I speak in my NATIVE language. As I speak I automatically try to think about all the ways I could say a sentence. This results in intrusive thoughts that interrupt me and I suddenly stop talking, repeat myself or mash my words together. Needless to say social anxiety contributes a lot to this problem. This started fairly recently, like a few years ago. My grandma's been like this since I can remember her. We both have OCD. What can I do? Meditation? How can I keep learning to articulate my sentences better without this side effect of stuttering?