When we ordered our BH 3670 I insisted the dealer have his tech/s use a 2x4, level and tape measure to give me the exact height actual measurement. I then had them use a plumb bob and a tape for the total overall exact length. I had them do this on a level cement floor... It was a condition of sale BEFORE I purchased the RV. This is because it had to fit into our toy barn, which it did. The dimensions in the sales brochure are short - DO NOT GO BY HL’s printed brochure measurements ! We also had HL install a low profile AC/heat pump on the roof which lowered our height a couple of inches.
I just added a 2nd AC in the BR (low profile) and my height grew a couple of inches. I now put the Horn away without inflating my Hensley Trailer Saver air bags which lowers the unit a couple of inches. Doing all these gymnastics I just barely clear the open over head door by an inch. I suggest you wait until you have the RV home and modify or build your car port as needed. It may be best to measure it yourself.
By the way, the same game is played with boat lengths, boats are measured with rubber rulers too. Our boat varied by 6’ depending on whether it is being insured, docked (slip length), bought or sold.
My 3670 (50 amp) power cord is about 25 feet long – it is the powered reel type and we love it.
Happy RVing !