I recently pulled off old wood paneling in my basement, and would like to insulate it using rigid foam (silverboard or durofoam). Behind the panelling, there is tar paper, and 1x2" studs approximately every 1.5 feet. I see the tar paper as extra protection/moisture barrier, and am inclined to install the rigid foam over top. I have gotten such a range of advice on this...
Option 1) keep tar and studs, fasten rigid board on top leaving a 1-inch air gap between the wall and foam - and build a frame in front of foam for drywall.
Option 2) remove tar paper and all studs, adhere foam directly to cement wall and build out from there.
Option 3) remove studs, adhere foam to tar paper directly.
Option 4) cut foam to fit between existing studs and use tuck tape and expandable foam to fill in spots.
Does anyone have experience with this type of situation? The home is 65 years old, and we live in zone 6 for weather. Spray foam is not an option for us. Thank you!