Looks like I should have googled it before I spoke.
1asphost has 100 mb of free space and no file size limit. It does say "There is no file size limit. However, it must be used in a proper manner, which means we do not allow sites used for downloading files. We are a web hosting company not a file storage one. You may have a database that is 80MB which is fine with us." So as long as you aren't using it for mass downloading, it looks like they will allow it.