Well, I live in Oslo, and it's alright, but it's about a 30-40 minute drive, depending of where in Oslo.
I am guessing your base is OSL?
If so, I do know of a few places, but are you thinking of just a bed and a bathroom, or an apartment?
Here you have a few options.
They are located at Gardermoen (OSL), Ullensaker and Jessheim.
Pretty much 10-15 minutes drive from the airport.
http://finn.no/finn/realestate/letti...TINGS&siteId=1
Let me know, and I'll try to find something for you.
-SE