You're right, there's no need to use the mouse.I find it puzzling. Why do you insist on using the mouse if you already have some galmap controls on HOTAS? Just bind the required cam pitch controls (see my controls reference I posted a while ago in this thread, use modifiers if you lack buttons), and there is absolutely no need to use the mouse for galmap anymore. UI tab next / tab previous can switch you from the left "long" menu tabs (realistic, map, pp) to "system" tabs (select, plot route, etc.) - there is absolutely no need to take your hands off the hotas.
As for typing, I find the "nose gap" both Rift and Vive have can help you with it, but that said I type for a living (programmer). I sometimes find it easier to use the gap to quicker find the F and J keys which have touch markers on them, than "immersion breaking" blind groping at the keys and type-and-miss if my keyboard is at weird angle. I do not use it for typing per se.
But personally, I find the mouse to be far faster for the large-scale rotation and translation and zooming with the mouse wheel is more intuitive.
I can rotate, pan and zoom in on a system, do the final star select with the hotas throttle controls (strafe left/right/fwd/back) and select the menu (plot route etc) with the mouse pointer, all pretty fluidly.
My mouse sits right beside my Warthog joystick, so I can switch between mouse and stick without thinking.
I use the Hotas hats for all GUI menu hopping etc in space (apart from the station boards, where I can use the mouse or hotas equally.
Yes, I peep out from the Rift nose-gap too. Slowly returning to touch-typing.