Hmmn - I have pretty much the same setup with no shutdowns at all... I wondered how much space overall you had on your local storage, since there might be some disk-swapping going on. I have a 1TB SSD forinstance with 400GB of free local storage.
If there's plenty of storage, try a 'clean' reinstall -
Sign out of Evernote / don't save your data locally / use Revo Uninstaller Free to uninstall the app. Power off and back on, then re-download and reinstall and leave Evernote running to rebuild the local data files and indexes. It's usable but a little slow - things get faster later.