Andy, my agreement with SP was in regard to the PA38 Trauma-hawk (spin one enough times and you'll at some point understand the nick-name).
The PA28 is a good war-horse and by all means do a check ride on it. Not a bubble canopy, although the newer ones do have more glass than the earlier ones. In an effort not to speak ill of any aeroplane, I'll just say that our group owned an Archer 2 for quite a while; it was reliable and didn't cost us much in maintenance money.