The very best non-Fluke meters I've used (excluding Agilent, which are even pricier than Fluke in some cases), are UEi meters, they OEM for Klein, and I want to say that they do some of the Snap-on stuff, or have done it in the past at least.
AFAIK the UEi stuff is made in Korea instead of China, and all the examples I've seen have been extremely high build quality, and very durable.
Extech meters are mostly Chinese rebadges, but they typically offer good value for the money. The Extech/Craftsman pro meters for example, are a rebadge of a meter made by a Chinese OEM.
I used to be a huge Fluke fan, but since they caught Danaheritis and started going to China, I'm not quite so sprung on them. They seem to be staying good quality, but it's hard to justify the extra cost, when there are other good Chinese made meters on the market for much less.