If I knew the length and design of this stub...I might try modeling it to my AstroBeam model and see if there was something that Avanti knew at that time...making the pattern or the antenna perform better.
If anybody knows the length and the coax used...please let me know.
Are you talking about the "Duel 59/U Matching harness" the last part listed in the parts list page 5 of the manual?
If you are this might help you.
http://www.ebay.com/itm/Original-Co...642114?hash=item25d9d89e42:g:Tg8AAOSwcLxYEZQz
Tib