I did a few lung transplants during school. The surgeons don't really dictate whether or not students are able to participate on the anesthesia side of things, so it's not really prudent to use that as a metric in choosing a school. There's no school that is going to have a student do 10+ lung transplants during training because there simply aren't enough lungs to go around for all the people learning. The academic center I was at had anesthesiology residents, who trained to do these cases as well as SRNAs. The residents got precedence on these types of cases. CRNAs are able to do them (meaning, there's no restriction saying the can't participate in these cases), but as long as there are residents in training and there isn't a more interesting / complex case for them to do, the resident will be assigned to it. The CRNA would give breaks during the case and take over at 3 (or whenever the resident left for the day, which was 3 o clock at this hospital). Lung transplants take place at teaching facilities (usually), so there will likely be residents there. It depends on case volume to dictate how many you'll be involved in during your education. I read in a previous post that you want to specialize in lung transplant. There are specialized cardiac teams at some hospitals, but I haven't heard in someone specializing specifically in lungs just since there aren't 2-4 done per day (as is the case with hearts at a large facility).
I'd guess one place that might have the lung transplant volume you're looking for for during education is Mayo - they have a 42 month program (barf) you could look into.