Also worth noting that the shims are not necessarily all the same thickness. Mine has several steel shims that ISTR are .010", plus a couple of brass ones that are probably the .0025" that Don mentions.
Does take some special tools, but the puller is the main thing. If you don't have access to a press (try asking at your FLAPS), you can drive the peg out with a BFH & punch (use a big nut or suitable socket as a support).
A little shopping around should produce a usable dial indicator and base for under $30, which is likely less than it would cost you to ship the box to someone. For example, here's a
dial indicator and
base from Enco for about $26 plus S&H. Or
here's one on eBay for $29 with shipping.
But I think you could make do without the dial indicator by doing a trial assembly without any shims, tightening the bolts just finger tight and adjusting until the gap is even all around; then install shims equal to the measured gap. For some reason that never occured to me until after I bought the indicator ... but I'm glad I did.