Try without it see what happens mate, atleast we'll know.
WIthout the stutterfix, i get all the stutters back even though its running at 40-50 FPS.
Very heavy stutters.
The missing meshes are still there. Strange. SO its not the stutterfix mod. I get the missing meshes immediately when entering the DB santuary. If i attempt to get out, i did NOT get CTD(which is strange but still). Then i saved and relogged into the game and reentered the santuary. Bam, meshes are back. So i conclude that its the patch itself that screws things up.
I tested this with absolutely no other mods except the 64hz stutter fix. I made 2 characters simply to test this using the vanilla.
1st char: DB santuary, missing meshes. Meshes back after restarting game.
2nd char: Dragonsreach. Missing meshes and they are back to normal after restarting game.