Hi. I can't really help you much with the newest Basilisk II on Windows questions as I run the older stable build 142 version, which does have extensive keyboard mapping that works well. It is also vastly more "tweakable". Build 142 is old, I run it on an older 32bit Windows XP box. I don't know if it runs on 64bit newer Windows machines & OS's.

There is also a forum for Mac emulation questions here. Tho' as you say someone here may be able to help.

With regards to floppy disk swapping. In an emulated session you'll likely be installing from Disk image files. From within the emulated Mac session, usually, you can drag all of the disk images onto Disk Copy 6.x to mount the images onto the Mac's desktop at the same time. Once they've all mounted, run the installer from in the first disk, the installer program will detect all of the mounted images and complete the install without the need to swap disks.

You can also drag image files directly into the emulators window to mount them via the host PC if the archive has been extracted beforehand and the emulated session is "windowed" not full screen. The number of images you can load this way may be limited. Personally, I prefer to extract an archive from within the emulated Mac OS and mount them using Disk Copy 6 or other disk mounting utilities, as required.