First thing up is a tube mic. It is entirely feasible that you can find,through measure,cases with very good thickness #'s without turning. Segregate these and see if they show a difference on paper? possibly before buying into turning tools.
I put the tube mic in a little DP vise..... then hold/present the case neck to the mic. This way you aren't fumbling with anything. Better than the DP vise,and what we use in the machine shop..... it lives in the top of the toolbox next to mill....
A Panavise,tilted just so,and always has a 0-1" mic in it. Just don't want to take it from there,so use the little vise in the loading room. You can "buy" mic stands but,what's the fun in that? In any case, get your measuring tools/technique squared away.Good luck with your project.