I run into the same thing with my AD200. I've changed strings a few times and it's gotten a little easier as natural wear opens up the holes a bit, but it's still an issue.

What I do to remedy it is that when I take the strings off I grab the string with a needle nose pliers about 1" or so out of the bridge and push the string through. Got to be careful that you don't whack the top of the guitar with the pliers, of course. The strings are rigid enough that this works well with all but the top two strings, and usually works well enough to get by with those.

A couple times I put on extra lights and the top two strings didn't want to push through - the string would bend instead. To get these out I took a chunk of light string, bent a little "hockey stick" angle at the end and slipped it through the ball end loop of the stuck string. Took a little doing, maybe 3 minutes work. Once it was threaded through I pulled it through far enough to grab it on both sides of the ball and gave a tug - out it came.

Hope this helps....

The first couple times I did this I put a towel down on top of the guitar around the bridge to protect the top in case I slipped. I've gotten confident and don't do that any more, but it's a good idea at first when you're learning how to do it.

I hold the pliers so that the jaws are parellel to the bridge. Basically, it just lets you grab the string and gently push it into the hole, pushing the ball end out of it's socket. It's not a sudden, forced push, just an easy gentle shove....

Re. Slej's post re. Martin SP's, as it happens those are the strings I've been using and which tend to stick for me. The original D'addario's came right out when I changed strings the first time....