These are by no means a personal recommendation. I searched the web for businesses in Elliot Lake and these were the results that offered accommodations:

http://www.dunloplakelodge.com/facilities.htm

http://www.frontierlodge.com/

http://www.laurentianlodge.com/attractions.html

http://www.wildernesslodge.onlink.net/

Hope that helps.

Regards, Linda