12” tires are 1 to 2” taller, If not sure what the next tire size is for height or width, you tire supplier could help I guess. It would really come down to how much clearance there is for the top of the tire to the frame or boom of the machine. Also you would want to consider what percentage your increasing the speed of the machine. If you get a tire that makes you go 20% faster your will lose 20% of your pushing power. You have to consider the trade off for your application.
I'd also like some tall skinny tire for snow plowing where more speed would be great. The lost torque would not matter because its easy to spinout in snow anyway. However this combination would be useless for something like digging virgin earth with a tooth bucket as you would not be able to push vary hard.
Ken