You are correct in that for an MBR configured drive, 4 primary partitions (or 3 primary and 1 extended) is the most Windows will allow. Adding a partition with a third party utility might mess up Windows, and is not worth taking a chance.
Can you use an external drive?
If you had a UEFI install and the Drive was configured as GPT, you could put as many primary partitions as you might want.
But you could use the snipping tool to take a picture of your Disk Management Window and attach using the paperclip. Maybe someone would have another suggestion.