FWIW: I tried converting the gpx files from WGS84 to NAD27 and
  using the geotiffs with those tracks under viking.  That still
  didn't work, even though the gpx transforms looked correct.

That may be because NAD27 uses a different ellipsoid, so converting
coordinates that are in NAD27 but treated as WGS84 to WGS84 UTM does not
give you the NAD27 UTM coordinates.   IIRC this effect is bigger than
the actual surface datum shift in meters.

  I have the gpsbabel scripts I used for that if any one is interested.
  Basically one has to use gpsbabel to convert to unicsv and then
  make a new unicsv with the datum transform then conver the unicsv
  back to gpx.

  So, next I tried converting the World File (tfw) for the geotiff
  from NAD27 to WGS84.  That seems to work.

So then you have the geotiffs georeferenced in WGS84.  But, it is lined
up with the NAD27 UTM grid instead of the WGS84 UTM grid.  That's
probably not detectable.

I had been thinking about how to do this right, within viking.
Transforming the way the map lines up makes more sense, since then you
can alpha composite with other maps.   So, having a projection selector
for georeferenced maps and transforming the origin of the world file on
read seems like a plausible approach.

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