I think my Hantek 2C42 is border line valid as a DMM but it does fit your budget - you get an oscilloscope to boot.
Can't comment much on the previous suggestions (Uni-T, BM235, used Fluke 87V, BM235, Fluke 17B, UT61E, Aneng 8008/8009/870, BM257, Fluke 101, used Gossen Metrawatt et al) other than a quality DMM appears to be at least a long lasting product, in my experience.