As a inpatient psych surveyor for my state, I have observed over the last few years as several facilities have gone entirely smoke-free, including the state hospital that was in my territory. The state hospital does not even allow staff to bring smoking materials onto the units with them -- they must keep them locked in their cars and go to the cars on their break time if they wish to smoke.
None of the facilities I visit regularly have had serious ongoing problems related to the change in smoking policy (of course, there
was a little flurry of excitement around the time of the change in policy at all these places ...

).
I hear what you're saying about the people for whom the facility is their home, as that is also the case for a lot of people at the state hospital I'm speaking of. That is certainly v. different that being on an acute unit for three or four days.
What the physicians and staff at all these facilities have done is to be v. aggressive about offering nicotine patches and gum, as well as smoking cessation programs in the longer-term settings. None of the management people at any of these places have regretted the change in policy (although I'm sure some individual staff people have!) The doom and gloom predictions by some individuals before the new policies were implemented just didn't happen.
I believe that it is v. important that all the staff recognize that this is a medical/clinical issue (addiction), and be professional about recognizing and addressing the clients' nicotine addiction (with patches and/or gum) rather than just viewing it as a behavioral issue (no longer going out to smoke).