I have owned both of these, and let me state I am biased to PRS as they are my favorite all the way around.
Currently have a full Brazilian 513, so it may be slightly different to the one you are looking at if its a mahogany neck with Brazilian fretboard. I love the pickup options and sound combinations available, 13 settings! I lean mostly to fixed necks as well so that helps me give the nod to the PRS. Can't beat the fit and finish as well.
The Steve morse is an awesome guitar as well with a bunch of pickup options. Build quality is good, more of a Tele feel in terms of body/neck shapes, but doesn't sound like a Tele! The Morse will be lower output compared to the PRS. If there is one thing I would change on the 513 it would be the output level of the pickups.
You can't go wrong with either one, but if you asked me to pick which one first I would pick the PRS. Then get the morse later of course!