Hi Kerri
I've seen Totara explain how do this on a video somewhere, but now can't find it.
You basically create a custom field called 'Archived' or 'Hidden' or whatever you want under Site administration / Courses / Custom fields. This will show in your edit settings page.
Tick this (or however you set it up) for each of the courses you want to hide. Then on the Tile Catalogue page, make sure the filter is also ticked to exclude the courses, and then click the 'Share' button. Use this URL for your catalogue. You can set the default to whatever you want, and also easily change the results by ticking or unticking the options.