There are some other emulators that might work better than Basilisk II depending on what exactly you need.
Cockatrice is a fork of Basilisk II. It has better networking, sound, and support for SCSI disks, but is missing some other features (don't know which ones) because it's based on an old version of Basilisk II. Like Basilisk II it does not emulate most of the hardware, but relies on ROM patches.
PCE can emulate a Mac 128K/512K/Plus/SE or Mac Classic, but not a Quadra.
MESS can also emulate a various models (including Mac IIci and LCIII) but again not the Quadra.
Mini vMac emulates a Mac Plus and has some preliminary support for the Mac II. EmulatesIt emulates all hardware except for the floppy drive.
Shoebill emulates enough of a Mac II to run A/UX (it does not run Mac OS).
PCE, MESS, and Mini vMac have more faithful emulation than Basilisk or Cockatrice, but they don't emulate later models. Shoebill was specifically made to run A/UX and doesn't run anything else.