Haifagirl, we thought of that. However, modern Israeli hospitals have a mechanism in place. As system of double doors that cannot both be opened at the same time exists in every Israeli hospital, to separate the morgue from the wards. This way, kohanim have no problem entering the hospitals.
We think that a similar mechanism ought to suffice at Bet Chumra. Of course, we recognize that things are getting more stringent. So rather than 2 doors, we will have four doors separating the men’s wing from the women’s wing. One of the mottoes of the hospital will be “arba dlatot shel chumra.
We can economize in other ways. The shul (men’s wing) does not need a mechitza. And the “shul” on the women’s side will not need a Sefer Torah, or even chumashim. We will provide, however, a number of copies of “tzena u’re’ena”.