Yes, I agree. A 4" lift should not be drastic enough to effect the BLIS. Just pointing out that BLIS is not really necessary on most vehicles.
Hope you get it sorted out.
You really shouldn't need BLIS if your mirrors are set up properly. Most people set their mirrors incorrectly. You rearview mirror may need slight adjusting, and most people need to adjust their passenger side mirror. If done properly their should be no blind spot. Set your passenger mirror...
Some caps have fabric headliners, which definitely help. I would also recommend getting one of those inflatable camper sheel window boots, that way some of the A/C can get into the back, but that also means your dog will be slobbering all over your shoulder.