I've reinstalled Skyrim a number of times. I've even changed some mod loads in a minor way. Nothing to do with character models, though. My saves "adjusted" themselves well, with a minor glitch here or there. If you keep the mods the same, I don't see a problem.
I keep a "Clean Install" of Skyrim (copied from my first install (with DLCs) of Skyrim) in a separate folder so I can easily copy and paste it over when I need to reinstall.
I usually go through Nexus Mod Manager (NMM) and uninstall all my mods.
Then I delete the contents (NOT the folder itself) of my Skyrim folder in Steam.
Then I copy my "Clean Install" Skyrim contents to the old Steam Skyrim folder.
Then I open up NMM and reinstall the mods.
I have had very few troubles with this process, though I have had to delete/retire a couple of characters.
I hope that helps