8.5 +37 = should fit rear, but I think it'll hit on front.
What you want is low 30s/high 20's front, mid 30's rear. That 17" screenshot you posted looks good, I'd run it on my R32 (but that's long dead now).
For tyre sizes, my rule of thumb is: 8': 235, 9": 255. But that's just my opinion.
Nismo sizes: 18x8.5+35/18x9.5+38 is a good starting point.