Any diff drop lift that replaces the factory strut will work with the Tremor. They will give you the same lift hight as a regular F-150. That's why the Pro Comp works. Pro Comp, Fabtech, RC, BDS, kits will work that have their own coilover. I have posted pics of of several of these kits on the leveling kit thread. TC Customs has done the 6" BDS coilover kit with 37's on a members truck with video. A local dealership to me has installed it on several Tremors in the 4" and 6" flavors. Yes BDS is one of if not the best diff drop lifts out there. They use Fox shocks on their coilovers and offer the DSC upgrade. Sport Truck USA that owns BDS, Zone, JKS and a few more where purchased by Fox Factory. Yes the same Fox shock/Race company. You get genuine Fox shocks, not rebranded or in-house made shocks from the lowest bidder. BDS does not claim their kits work on the Tremor, but there are tons running around on them. I have yet to see a diff drop kit let you use stock wheels. most need 20's. Even the 4" RC Tremor kit that just came out needs a 20x9 +6. I like that it says its a 100% bolt on. But the Pro Comp site says nothing about it or wheel requirements. It will be interesting to see what you find out. I have yet to see anything say it works with Bluecruise. On the Gen14 forums there it has been hit and miss. Some say 4" max lift and it will still work. One guy with a 6" lift can't get it to work even with recalibration. It might depend on how good your dealer knows the software and programing features. I don't want to lose Bluecruise or any driving features.
Links
BDS
Video
Tremor on 37's and BDS
View attachment 3014