Version successfully upgraded from 11.0.10 to 11.0.12 via remote install.
I have powershell scripts to perform remote installs of applications. Adding the following to my remote install script worked:
msiexec /update <FILE LOCATION>\AdbeRdrUpd11012.msp /q
NOTE: Since this patch is just another windows install package, you can install the .msp package using the /q (quiet install no user interaction) flag. Of course this is a patch so you need to make sure the base application is already installed.