There is no reason you can't make an Arkansas crossroads using 2 1/2 HST. Your squares would also need to be this size. You can also make something using the shaded 9 patch block (aka split 9 patch) Here are some ideas for you.
https://www.google.com/search?q=shad...iw=885&bih=732
I made this quilt using unfinished size HST of 2 1/2" but you would have to make more to make one as big as this. It contains 1,152 HST. This is not Arkansas crossroads though.
Scrappy batik HST quilt
Found another discussion here on the QB regarding the split 9P quilt that looks like Arkansas cross roads. Loads of good info here:
Split Nine Patch Quilt