I did a quick ACAD sketch at lunch...look reasonable? 2" wide may be a problem with spacing between the 2 groove and 4 groove pulley.
Your measurements are reasonably close to mine. I am actually at 2.18 wide and 2.25 diameter, but like I said I thought I was a going a little big. The one thing you have to watch is that the center relief groove
leaves enough clearance for the "C" shaped carrier in the back of the "C" to allow for belt adjusting. I am showing 2.6" between the faces of the two pulleys so plenty of room there. I mostly did it as a cut and try as I had a spare assembly to play with.
WH