There was a similar incident with my 2012 Outback.
The dealer wanted over $600 for the purchase and
installation of and 1 1/4" hitch. I ordered a 2" Class III
hitch etrailer.com with the wiring harness and shipping
for about $220? The istallation was straightforward with
the biggest problem being snagging the end of the wiring
harness that resided behind the interior trim over the
left rear wheel well. The hitch took about 45 minutes to
install while it took me about 2 hours finish the wiring by
making little hook to pull the harness down and to cut
the restraining tape using an Exacto knife and an
inspection mirror. Whew!
I have never managed to scrape the hitch on the ground
and the installation is hardly noticeable when not in use.
Good Luck, Larry H.