While we do not have a custom fit trailer hitch receiver that is confirmed to fit your 2008 Country Coach Allure Motorhome you may be able to install a universal Class V hitch like the Curt Class 5 Universal Weld-on Hitch w/ Brackets - 2-1/2" Receiver - 44" Wide # C87CR which works with vehicle frames between 18" - 44" wide.
The # C87CR has a 2-1/2" receiver, a 2000lb tongue weight rating, and 20000lb trailer weight rating, but will need to be welded to the frame of your vehicle by a... view full answer...
The Atwood Air Command RV AC Unit part # AT15033-22 that you referenced would be an excellent choice for what you are looking for. It has a heat pump like you are wanting, a higher BTU rating of 15k, and it's designed for ducted applications like you have as well. view full answer...
If you currently have a Kwikee 42 Series electric step on your 1999 Country Coach Motorhome yes, the Lippert Kwikee 42 Series Electric Step # LC372779 that you referenced will bolt right up as a replacement using the same mounting attachments. view full answer...
For a brake controller I would recommend the Prodigy P2 Brake Controller part # 90885. This is our best selling brake controller because of how well it works and how easy it is to setup. This is a proportional brake controller that senses the amount of braking the tow vehicle is applying and applies a proportionate amount to the trailer brakes.
If you look anywhere online this brake controller is highly regarded as basically the best brake controller available.
I attached a review video... view full answer...