Flyers don't chew. Reds and Greys do.
That's not true down here in Ga. Flyers aren't AS bad, but they love to make a perfectly round hole. They can and often will chew back in when not properly trapped and removed. Though most of the time I see flyers it is because they are taking advantage of poor construction, they will help their way in by chewing. Run up on a colony in a house that's been there a while, and don't think they won't wear some teeth out to get back in.
To answer the original question, one way doors normally work well. Make sure you have a cage on the end and make sure you know all points of entry/exit. Nothing like have a cage over a hole and having them use a different exit/entry.