Just put a shim ( washer ) on the inside of the small drive sprocket. You will in turn need to shim the driver the same amount as it will move the driven clutch sideways the amount of the thickness of the shim. How much do you need to move it over. Also just a thought, I once had a similar problem. I discovered I was using a #40 chain, which is wider than a #420 chain. Not a lot but it was enough to make the difference. If you are getting into thousandth of a inch, and I bet you are, you could even grind down the bolt head. If it has a washer behind it remove it. How about a Allen head bolt. That could ground down much lower than a standard hex head and still be able to engage a standard key to tighten or remove. This is something I 'm sure you will be able to overcome.
I will have to check that all out. I was joking with my wife that the bolt head was self clearancing, she didn't get it.