Hey mcmanone, Your post got me thinking a little more last night, and your mention of Wifi really got me wondering so I did some digging and asking around and it seems there may actually be a setting on Android that could help.
Go into settings, then about device. Scroll down to Build Number (it might be listed under software info) and tap it 7 times, this will enable developer mode. Hit the back button once to go back to the main settings window and you should now see Developer options, tap on it. Scroll down and look for the option that says "Keep mobile data turned on" and put a check there. Then back out to the home screen.
Now this may not be an ultimate fix as there could be other factors in play, but if your in an area of consistent good coverage then this should help. Once I found this I also enabled it on my own device to see if it helps. Best of luck.