I don't know what a Fluke costs, but if I had to measure non-sinusoidal AC that was a single frequency, then I think I'd go cheap and just use a notch filter. Audio distortion is often measured that way. (If you're poor)An excellent meter. It's been my only multimeter since the early 80s. I've only just recently upgraded to a Fluke 115, mainly to get 'true RMS' functionality (because of non-sinusoidal AC I'm encountering).
Regarding the "0" and "1" resistance, or whatever, what the OP needs to know is that a good fuse measures zero resistance, just like a dead short, whereas a blown fuse measures infinite resistance.