Hotkeys that I find useful - although I've already managed to create them using a Logitech gaming keyboard, are navigation keys. Logitech lets me map mouse click to keys.
I have 3 keys for pan, zoom, rotate, that work without needing to click the mouse. i.e. just press the key and move the mouse. I find this far easier than remembering control key/mouse button combinations, especially when I also need the mouse to paint.
Finding that this didn't work well with a tablet or when snap-rotating, I remapped all the navigation keys to use the left mouse button and created a duplicate set of pan, zoom, rotate keys that do everything except the actual click, which I provide using the tablet pen.
I don't think you can actually do all this in Painter without the gaming keyboard software.