I need to leave my car for 7 nights is this something I can do?

Only if u have a room there if not use Las parking or other long term parking lots

Go to laz fly its cheaper

They do you allow parking on their property but there is a fee and it's more expensive than the self parking that is right around the corner. When I stayed there I drove around the corner to Galaxy to park my car. They gave me a AAA discount and a free shuttle ride to and from the airport.

You would have to pay with your room. There are long term economy lots at Bradley & also competitively priced self park valet bus lots literally across the street. Ex: Galaxy is $5.95 per day & they clean the snow off your car!

Call them