Is there a simple test you can do to determine if your drive supports overread?

Yes, in EAC hit F10 and it will bring up drive options, click on the offset/speed tab and have a cd in the drive and click the "detect  read sample offset correction" it will then test for overreading.

Hmm, seems like none of my drives support this. I understand that plextor is the way to go. Any specific models you recommend?

No, others might, I can only say I have a Plextor PX-712 and it's working for me.