Jim:
Due to the belt/clutch and guards design on that tiller, our engineers have told me there is a safety concern if anything but an original engine is used. To swap out with a modern GX-style OHV or lower-cost GC OHV/OHC engine seems ideal, but the different pulleys would present some engineering challenges; I don't have the exact details, but suffice to say, Honda can't legally recommend any other engine except a identical G200 as a replacement for the tiller. The GX200 is not recommended to replace the G200.
Worse yet, the G200 is very, VERY old side-valve design, and has been out of production for many, many years. Honda has
none of these engines in stock here in the USA. I'm very sorry. I know the tiller is probably in good running shape otherwise. FYI, the general rule-of-thumb is to maintain stock of replacement engines and parts for a model for 10+ years after the last ones are manufactured. Personally, I think this should be extended to 15, 20 years, as you and I both know Honda stuff lasts for a long time.
There were quite a few thousand G200 engines imported by Honda in the day. It's possible
craigslist or
ebay might have one somewhere. If not, I'm hopeful you can sort out the ignition woes and keep it running for a while.
Finally, at the risk of sounding like a salesman, Honda makes a nice unit called the F220 that does a great job. I realize it's a sizeable investment ($900 list price) to buy a whole new tiller, but I'm sure it would last even longer as the one you have now. You can learn more about it here:
Honda Tillers: Honda F220 Mid-Tine Tiller