Paul T:
We have travelled that route a few times, each time in a gasolene driven engine. The first time in a carburetored ford van (460 ci) and we had a bad case of the vapors (vapor lock). We spent a bunch of money installing a return loop in the fuel line to keep the fuel moving to and past the carburetor and back to the fuel tank, keeping the fuel cool. Unfortunately we were not able to test it on that particular stretch of road. We had the problem headeng east on the west side of the tunnel, near the US6 exit. We spent quite a bit of time waiting for the fuel to cool and liquify again. This was in the summer.
Then a few years later we obtained Chevrolet 454 CI Southwind motorhome (1992 model) and it had a different type of carburetion (I cannot recall it exactly, but it wasn't pure fuel injection, but some type of hybrid system between fuel injection and old fashioned carburetion) With that motorhome, we pulled the hill west of Denver up to and through the tunnel. The coach did not stop pulling, but did load down quite a bit and I did hear and feel some missing. I don't think we lugged down much slower than 35 MPH, pulling a Jeep Wrangler. The motorhome was a 37' unit with tandem axels. The unit was underpowered, using a pick-up truck transmission, but still did the job admirably.
I would imagine that a 2006 Suncruiser (I really don't know what chassis it has) would have full fuel injection, and you should do just fine, especially if you buy fuel tailored for the altitude.
Just a few casual observations....