Multiple Pdf Printing

Here's my situation.

I have to print multi pdf files from multiple accounts. The folder and file structure are as follows:

ie.

Account 1 Folder
L Account1_SOA_Date.pdf
Account1_INV_Date.pdf
Account1_OR_Date.pdf
Account1_TRD_Date.pdf

Account 2 Folder
L Account2_SOA_Date.pdf
Account2_INV_Date.pdf
Account2_OR_Date.pdf
Account2_TRD_Date.pdf

Basically for each account there are four pdf files and each account has its own folder. Now, is there a way to automate the printing and merging of ALL SOA files. Say Account1_SOA_Date.pdf + Account2_SOA_Date.pdf, etc. It needs to continuously print at the same time because each file has a different Pre-printed paper form for it. I know we can do this by manually selecting each file but there are about 2000+ accounts and we want to automate it so that there won't be any room for human error (the wrong file may be selected). Also, a report or checklist of the files has to be generated so that we can verify and check the printing.

Please help. Thanks.