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This change moves filtering of the DoH provider list and reporting of
UMA metrics out of the UI code to dns_util.cc.  This simplifies the UI
code and enables sharing of functionality with the forthcoming Android
DoH control UI.

Change-Id: I66d0313d9e913ad1d34ac65a2278771261788b7d
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2174779
Commit-Queue: Peter Kasting <pkasting@chromium.org>
Reviewed-by: Eric Orth <ericorth@chromium.org>
Reviewed-by: Avi Drissman <avi@chromium.org>
Reviewed-by: Peter Kasting <pkasting@chromium.org>
Cr-Commit-Position: refs/heads/master@{#774500}