If you're trying to come in slowly you'd definately want to drop the main and come in on jib alone; of course be aware that with the boom and sail covering the tramp your steering ability will be degraded considerably.
I like your idea of some kind of carpet shoes for the boat. You mean basically having two 1' x 6' pieces of carpet with a line coming off each corner and then tying these onto the bows to protect them from the concrete? It might work but I think you'd go through the carpet rather quickly. You might be better off getting some 6" PVC pipe and cutting it in half the long way, then filling the halves with spray foam, molding it a little and putting carpet over *that*. The PVC would hold up much better to the concrete. I dunno; it'd be an interesting project.
(P.S. - early on I sailed straight into a concrete boat ramp with main and jib up. YOW that sucked. AND it's embarassing.)