I've made a couple of log cabins; my first used 2 1/2" strips. This was way too wide although I loved the quilt - it was one of my first in the mid 70s and I didn't know much.
2" would be the widest I'd go. Courthouse might look okay with wider strips.
It's been on my mind to do a scrap one with a much larger center square and 1+1/2" strips.