This sounds quite workable. As an alternative, and which might help
avoid some RFI from the house, in place of the following:

On Aug 30, 4:16 am, RHF wrote:

snips
Run the Wire Antenna Element straight-up from the 9:1
Matching Transformer to the First Antenna Support Point;
and then along to the Rest of the Antenna Support Points
along the Fence.

....and then...

Between the Radio and the 9:1 Matching Transformer
use a Coax Cable as the feed-in-line.

.....Take the coax feedline itself and run it all the way up to the top
of the first support, and connect your 9:1 transformer there, so that
none of the exposed antenna element itself is vertical. You could use
a non-grounding variety of transformer for this purpose, or you could
have a longer ground wire up to your transformer. The best bet *for
this circumstance* might be to use a non-grounding transformer, but
have an extra grounding block for the coax at the point where it comes
closest to the ground. This is a modicum more involved, and slightly
more expensive (not excessively so), but again may be useful for
minimizing RFI.

I emphasize that this step would be an additional experiment, and
RHF's idea should work out just fine as is.

Bruce Jensen