FYI, if you have NW flights and only a DL PNR, you can enter your DL PNR on nwa.com and it will pull up your NW flights.

That being said, if you're doing carry-on only, I'm pretty sure any DL or NW kiosk can handle it. I know I've checked in for Delta flights in MSP using the NW kiosks (just because they're everywhere in the airport, so it's a bit easier for me).