Hello argdumtrist,
Thank you for using Apple Support Communities. We can understand how missing your Reminders would be an issue. You did mention that you were unable to recover them using the iCloud website. Just to confirm, were these the steps you attempted? Restore your reminders on iCloud.com - Apple Support
1. On iCloud.com, click
in the toolbar, then click Data Recovery.
2. Click Restore Calendars and Reminders.
3. Available versions are listed by the date and time they were archived.
4. To the right of the version you want to restore, click Restore.
If these were the steps you attempt with no success, please consider reaching out to Apple Support for further investigation. Use the following link to reach them: Get Support
Thank you for using Apple Support Communities. Best of luck.