Lots of armchair theorists here.
Has anyone thought about the weather in DME? March can be pretty nasty.
Has anyone considered the option of continuing with enroute diversions available on better/cleaner runways if DME was contaminated?
There are a heap of variables here, and a lot of people who seem quick to jump in and condem.
If you would have done it differently, great. BUT you weren't there, neither was I.