OS X Mavericks :: Magic Trackpad Stops Responding On Wakeup After Upgrade?

I have a 27" iMac purchased in July 2011.  I never had any issues with the trackpad before upgrading to Mavericks.  I upgraded a few months ago and started having sporadic issues with the trackpad.  When the iMac woke up, everything seemed fine at first.  About once or twice a week, after it had been working for about a minute (just enough time to start web browsing), the trackpad would suddenly stop responding.  It then progressed to being more consistent (every other day).  The cursor was still visible and the keyboard still worked.  The trackpad was still on but apparently not connected.  I thought it was the batteries, but new batteries didn't work. I could get the trackpad to work again by using Spotlight to open the Bluetooth System Preferences.  The trackpad worked immediately when Bluetooth preferences were opened (nothing needed to be changed; it would just start working). 

However, it would stop responding after about ten minutes.  It was interesting because even if I left the Bluetooth System Preferences open, it would still stop responding after about ten minutes.  I could use the keyboard to make the preferences window active and it would immediately work again.  It would then work again for a few minutes and then stop.  I found that removing the trackpad and re-connecting it would cause the trackpad to start working again more consistently.  It would only stop if the iMac went back to sleep for an extended period (overnight).   

The useful keyboard shortcuts are cmd + spacebar to open Spotlight, type bluetooth, use the arrow keys to go to Bluetooth system preferences (hit enter), use the arrow keys to go down to the trackpad, press spacebar to unconnect, again to confirm, and then after the trackpad is automatically rediscovered, press spacebar again to pair it. 

This went on for about a month, when I had what I suspect was an unrelated problem.  The trackpad started acting as if it was being held down (left click was always being pressed).  I took it into the Apple Store and they confirmed it was broken.  At that point I had a brand new trackpad.   

The issue had gone back to happening every other week or so.  I thought it might be interference, but I've since physically moved apartments and all the objects around it. It's been a couple months now and it's back to happening every couple of days or so.  Since the trackpad is brand new, I have to think this is a software issue.  I've noticed the following consistently: 

1) It only stops responding if I've put it to sleep (I usually do so with a hot corner, but I don't have any reason to believe that's related) and haven't used the computer for more than 12 hours.

2) It'll always work right when it wakes up.  It'll stop fairly consistently 1 - 2 minutes after waking up.

3) Time Machine seems to be busy doing something when the trackpad stops (the little icon is spinning in a circle if I have a Finder window open).  Uncertain if it's always doing something or if it's coincidence that I've noticed it more recently.

4) As mentioned above, opening the Bluetooth System Preferences will always get the trackpad to respond, but then it'll stop after a few minutes.  Unpairing and reestablishing the pairing will fix the issue for awhile (at the very least until the next time the iMac sleeps).

5) I may be imagining this, but before upgrading to Mavericks, I think it used to show the message that the trackpad was connected when the iMac woke up.  I no longer see that message unless I remove the connection and setup the pairing again. 

I've seen lots of people with various issues with Bluetooth connectivity and Mavericks.  I'm on 10.9.4. 

Info:
iMac, OS X Mavericks (10.9.4), Magic trackpad, Bluetooth