Atechware posted a new FixAlarm, which included a fix for the On-Screen Reminder issue:
http://www.atechware.com/fixalarm.htm
I emailed Atechware 2 weeks ago and advised them of my issues per my previous posts in this thread. They let me in on the beta-tester for the updated FixAlarm with On-Screen Reminder "fix" included, before posting the latest version to their website a few days later.
Thanks to the good folks at Atechware, everything is cool with my Axim these days!