There are a couple crown land sites in the area you could use?  Just off the road into the access point. 

You might also want to think about staying in a cheapie hotel on the south end of North Bay, or between there and Kearney. My boy and I did that last year before a 7 day Nip-Tim loop. It was a real dive - but added to the whole adventure! And... gives you a bit of creature comforts and eliminates having to set up/take down all your gear one extra night.

Can't remember the one we stayed at, but it was around $70 - $80 for the night.

T