I use an old Palm m515 with WeekUp

palmdb.net/app/weekup-alarmclock

I set different alarm times per day of the week, and they cycle identically. I can also set a different alarm for days this week and it doesn’t affect following weeks (unless I want it to)

I appreciate that this isn’t “new” by any stretch of the word, but it’s straightforward and works well for me. If you wanted to try something similar you could probably find an old Palm m500/505/515 or Handspring Visor on eBay quite cheaply. Battery powered devices will always work, but if you’re handy with electronics replacing a worn out rechargeable battery also isn’t that difficult.

If you make sure whatever you have has a USB cradle or cable you can use something like PilotBridge to install applications on it without relying on the old sync software: pilotbridge.tavisco.dev