Rallye mirrors

So, im sick of my mirrors flopping around, moving when i put the cover on, etc. Currently running standard reproduction round mirrors on both sides, and yes the passengers side is all but useless.

Looking at the new chrome housing reproduction mirrors, it seems that the drivers side is remote only. Passengers is full manual.
My car is not drilled.for rrmote, nor do i want it to be. Can the remote part be secured up inside the door or cut off and the mirror adjusted manually? How are they on the "floppy and automatically changing " front? Any suggested vendors or a specific manufacturer i should look for?

Thanks in advance.