The really early MIJ strats were of exceptional quality, and I believe the ones you're looking for are the serials starting in A through C for 85-86 (though I believe the quality was consistent up until around 1990). I've heard them called better than the American strats of the time, and from what I know, the early models built in Japan were really well done and considered a sort of way to prove they could make good instruments, similar to the early Unsung-built Epiphones. The grading of wood wasn't quite as intense then, so many pieces that now would end up being sent to a pricier manufacturer ended up in affordable guitars.
I don't have much advice for finding one, but I've hardly seen a green strat, ever. I suppose it is mostly persistence and trawling through listings on many sites, but when you do find one like this, it'll feel like a steal.