Finally read through this entire thread. Mostly skipped over some of it. I was bitter because people answered the questions I was going to answer.
1. Schools get your board scores about 3 days before you do. They also have their schools average. Generally speaking, they tend not to tell the first and second year classes or if they so, those students forget b/c it doesn't really concern them. So if your tour guide doesn't know what the avg board scores is, it's not because it's a bad school. When I interviewed at Umich, Baylor, NUMS and other schools, not a single person who I asked (and I asked at least one person per school) knew their schools board scores)
2. About as many FMG take the boards as Allo students, so the average is going to be lower. So tons of schools will be above the average.
3. PBL versus lecture. It's hard to quantify which will get higher board scores. I've had both types of learning, and I'd go with lecture because you know what is important, where PBL you don't always know. And also your groupmates tend to get things wrong and teach you the wrong stuff (Yes, I'm a little bit about my first and last PBL experience here. Next years class is lucky in that they will totally drop it.
Another thing that leads support to this. Ohio State used to have a PBL and traditional program. So the same level of students can go into both. They had it for 5 years, and now they are dropping PBL. (Someone else might need to fact check this. I might be confusing it with the independant study, but I'm 90% sure I remember correctly)