Ok, this should get you going. I would highly recommend running this on the server where the share is hosted to you can use the local path to the folder. If you are using a network path, Windows 7 or higher blocks the ability to mount a network path through the command line and you have to set a reg key to bypass that protection.
Make sure you set the variables to your environment and add a "Printed" folder to the directory containing the PDFs.
set DOCFullPath= The path to the PDF files.
set Acrobat="C:\Program Files (x86)\Adobe\Acrobat Reader DC\Reader\AcroRd32.exe" - Make sure that this path matches your version and change accordingly.
Printer= "The full name of the printer you want the PDFs to print to"
Here is the contents of the batch file. Save it into a file called printPDF.bat or something familiar to you.
You'll then create a Scheduled Task where the .bat file resides to run at the times you specify.
REM Define paths and settings for script
set Acrobat="C:\Program Files (x86)\Adobe\Acrobat Reader DC\Reader\AcroRd32.exe"
REM Process all files within the folder that have not already been processed
for /F "tokens=*" %%1 IN ('dir /a-d /b "%DOCFullPath%\*"') do (
REM End the PDF print program
start cmd /c "timeout 3 & taskkill /f /im acrord32.exe"
REM Print document
%Acrobat% /n /s /o /h /t "%DOCFullPath%\%%1" "%Printer%"
REM Rename file to indicate processed
move "%DOCFullPath%\%%1" "%DOCFullPath%\Printed\%%1"