Don,
If I were you, I'd just spread the right hand side and add washers to take up the space on the left hand side, 3/8" is unlikely to move the axle forward by any discernible amount, so your wheel should still be pretty much in line with the centreline of the frame.
It looks like a long piece of 2"x4" timber and some gentle persuasion might be the easiest way to do it.
If you really wanted to alignment to be more exact, you would need to spread both sides by the same amount and use double the amount of washers, but I don't think the left hand side of the axle will have 3/4" of spare thread to allow for the extra spacer washers.
Alan