Large magnet does not work at all. HDD's are extremely well shielded against magnatism.
I know the data destruction device that the USMC uses (at least as of a couple years ago) performed 512 full writes to every bit on the drive in a random pattern... Took hours -> days to complete, depending on the machine. This software was considered "safe enough" for drives that contained ICBM codes, etc...
As far as the sledgehammer method, the actual platters can still be put through a treatment process to retrieve the data, although this method is great because after spraying with clear coat, read-write heads make great novelty keychains, and the magnets found inside hold
FUCKING EVERYTHING to the fridge!
As far as useful information though, you will need a piece of software that completes random-writes to the drive.
Comparatively, you need to think about the usefulness of the information vs. the cost to acquire it vs. the cost to destroy it. What tools are available to destroy the data? (How many machines available) and what comprises the proprietary information you are trying to protect?
About the worst your hospital needs to worry about is identity theft, and patient information is not the
best way to gather that...
If you have 5 - 10 robot machines available, I would just run a random or zero write program across each drive 5 times. Then reformat, and re-use them if you can. It'll take long enough to guarantee you a decent paycheck for doing it, be secure enough that it would cost quite a few thousand dollars to recover any usable data from any of the drives, and possibly even save your employer money in that they could re-use the drives.
My two cents, anyway.