I know exactly what you mean! I too recently joined the Home Care Nurse realm and have seen many of "those nurses" (I call them that derogatorily) who really don't care about who they inconvenience by not sticking around, or showing up at all, and end up quitting within a month or two. I truly believe that, if the home care companies would listen to us dedicated nurses, like you or me, they would hire a float-type nurse that could off load the full timers and cover patients whose nurse left, instead of pushing all the extra work of the regular staff.
For instance, I would be the type of nurse who, while not able to handle it full time on a regular basis, could take on two or three patients to case manage until a new full time nurse took her load. Or I could do recerts, resumptions and take those time-consuming tasks off your hands. If there were several "Float Nurse" positions, then between all of us "Floaters" we could cover an entire case load until such time as the new hire arrives.
I don't know if it would work, but I think it is worth considering.