When I was doing my due diligence, I found this option, but it was too rich for me. I liked that it was easy on/off and self contained. Did not like having another engine to maintain but I could have lived with that. Price killed it.
I looked at your snow history and it appears you get less than I do. Your fears of compacting snow are the same ones I had, but I have had no problems. The pull blower works well in that regard.
You may want to look at preventing the need to move three foot piles of snow by moving your propane tanks to a more easily accessible location. Not too expensive to do if that is the only issue you need to address. But if the only way to deal with some of your snow is to auger into three foot mounds you will need a front mount blower. And unless things have changed, there are no affordable options.
BTW, I miscalculated my propane needs the first year and did not clear the snow to the tank. I had to deal with almost two feet of snow. The pull blower needed two passes but I was done in 10 minutes. I did not want to tear up the grass so I left 2-3" of snow on the ground, but I could have gone right to the ground.