Hey Tyler,
Your question is a good one. Eliminating the need to unclip the carabiner would make the whole system safer to use, but it would not be as efficient as it is currently set up. An adjustable sling similar in design to the one Tom D is using for his Unicender would work for this purpose, but at its absolute shortest point it is still further away from you than the lowered Anchor Bridge position. The other problem with the adjustable sling is when in the short position you have a ton of extra cord just sitting there getting in your business. Once extended that extra cord is eliminated, but in the "work position" the extra cord would drive me bonkers....of coarse that may just be me.
Bruce Smith showed me a nice hitch on a hitch system that worked well to keep from having to unclip a carabiner to extend your hitch out, but again it was a bit messy in the short position. The next time we hook up I will be sure to show this method to you if you haven't seen it already.