are you going to respond if you have even tried any of the offered solutions?
when i had the collection installed Halo:CE Anniversary ran perfectly fine.
Will Chimera work for MCC? It seems to only work on Halo: Custom Edition according to the link
this is not insinuated anywhere in their wiki article.
it only explains what the Custom Edition and other versions are.
chimera just adds customizable options to the actual Halo: Combat Evolved game(s).
it's possible that altering max frame rates and other custom options could help,
but i don't see it affecting your issue due to the game running perfectly fine on mine and >thousands of other systems.
trying to get MCC to work smoothly with Halo: CE
make sure you have all of the correct codecs and other redistributables installed on your system.
usually contained in a common "Redist" folder for a lot of older games.