Our dealer gave us a copy of the detailed spec sheet from their Jayco sales manual when we bought our 2015 195RB Baja. Looking at those specs it shows the 195RB Baja as 7.5" taller than the standard model - 110.5" vs 103". When I added my Maxx-Air cover it took it to 115".
As octane noted the tires are bigger on the Baja - just over 2.5" larger in diameter which combined with the 5" of lift the flip axle provides matches up with the 7.5" increase in height I see on the spec sheet.
Perhaps see if the dealer could provide you with a copy of the detailed specs for the 184BH so that you can have accurate figures to work with. I agree with Tom333 that it's going to be really close if it does fit.
TT: 2015 Jay Flight SLX 195RB Baja Edition
TV: 2014 RAM 1500 Bighorn CC, 5.7L Hemi, 3.21, Factory Air Suspension/Tow Pkg, Andersen WD/SC