We had the same problem last week. We sprayed 28 doors in two batches with the pivot-pro system and a titan 440 with Synergy 210 fine finish tip. Here's what I learned from the entire process and I will address the runs.
1) We had always used the HVLP for doors and trim but this job was a new construction where I knew the standards weren't going to be as high as we're used to so I decided to try the 440 with fine finish tip. It was much faster and I was very impressed with the finish we acheived with this setup . . . The first five or so doors we did, I was spraying back and forth in about two-foot sections, triggering the gun on and off. The gun was spitting. I actually only swithed because my fingers were getting tired from all the triggering but I decided to spray entire sides of doors without letting go of the trigger. The result was no spitting from the gun at all, hence a smoother finish.
2) The first batch of doors we did, I really flooded out both coats. Why not, right? Did the first coat, came back when they were dry, they looked great, so we sanded and did just as heavy of a second coat. WRONG. When we came back the next day to hang them and get started on the next batch, we noticed runs everwhere. What I took from this is the following: You can spray your first coat quite a bit heavier because the paint absorbs into the primer a little more, causing it to hold tighter and dry faster. When you come back on the second coat, now you're spraying over a hard semi-gloss finish. Even after a quick scuff-sand, still a pretty slick surface. The paint sits on top of this slick surface, taking longer to dry and finds the time to sag/run . . . As for touching them up, we hung them and sanded out the sags. I floetrolled (you've never heard it used as a verb before!) the hell out of the semi-gloss, picked my best sniper purdy and went to work. I didn't just touch up but painted whole panels or whole sides, you get the point. Can you see the difference between what is brushed and sprayed? I can but I can say for a fact that it won't be an issue with the builder. It looks very good in my opinion.
3) Second batch was sprayed first coat heavy, second coat much lighter. Now, when you're spraying intentionally lighter you have to be extremely careful not to miss (i.e. keep your overlapping spray pattern exactly the same. Think of yourself as a machine that makes the same exact movements every time). DO NOT miss because you will see these misses when the light hits the door at just the right/wrong angle.
Overall, I'm moving closer and closer to never brushing a door again as I dial in the process closer and closer.
A pretty long-winded response, I know but, as I said, this is someting that was happening in my world just last week.
Mack