I think with 13,000 to play with you have a lot more options-
I would say that a 2004 - 2005 RX-8 is within reach. I'm not a fan, but it's usually grouped with the nissan 350z (yet usually less expensive in the used market)
Here is one for less than 12k:
2004 RX-8
Personal opinion:
I've never spent 13k on a car in my life - I would rather go with slightly older and well taken care of cars-
Usually the BMW guys are fanatical -I bought a 1999 E46 3 series with 50K for $10,000-
and a 2000 3 series coupe with 70K for $7000 (+ 500 for some paint work)- They were both well loved cars so even though they were older I completely trusted them- and the shape is classic so most people don't notice the age.