Kelly. I have a 2000 C-12 Patriot 425 and live in Phoenix also.
Before we purchased our coach I performed a coolant analysis. in my case, I know the cooling system is -pristine- But the two dealers that had it previously, just topped it off using tap water.(Only coolant issue). We changed to CAT ELC Pre-mixed immediately before any corrosion could be done.
That being said, With ambient temperatures around 90 degrees, we took our first run up to Sunset Point last month, and again last weekend. Both times We climbed that hill at approx 185 degrees never dropping below 55 MPH. But by experience (especially on THAT hill) I shifted down to 5th and shot up it PASSING CARS along the way (I was seriously verklempt
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This may help you with a baseline expectation with your coach without a trailer going up to the top of Black Mesa. Temperatures here in Phoenix will be in triple digits the next few weeks (months). I'd expect your engine temperature to be just slightly higher, but no where close to 200 (assuming 5th gear used).
I am no engine expert, and no where near "Gerald Farris" master of all, but I've read a lot of posts during my research phase. I'd recommend Googling the following string: c-12 side radiator overheating site:beaveramb.org
I'm close by, feel free to PM me if needed. I hope I've been of some help.