Try a different ACP or another time. I know we have hired guys (albeit in the past) who haven't been current for at least a couple of years. Not many, and maybe not lately, but it has been done.
It is pretty hypocritical to hold lack of currency against you when you might be stuck in the back seat for 2-3 years or more as a new hire anyway. Of course, perhaps that is why they would prefer you to be current. I don't think there is much difference in 2-3 years out of the cockpit and 5-6 if you have the experience required to get an interview here to fall back on.
In either case, I like the way Salty Dog suggested you approach the topic when/if raised.