You do realist that "best" and "cheapest" are almost 100% mutually exclusive.
You don't say how big the organization is.
The *best* network scanning solution I've seen for smaller operations is to use a Canon MX series multi-function printer. Once set up, when you scan a document, the scanner asks you which PC to send the scans to, and that's where they go - up to you to make sure they stay safe after that.
For larger systems, the option may still be Canon - their big printer/copier/scanner systems have all sorts of options. THe only one I use is configured to dump all scans in a single network folder which all users have access to (so they can get their own scans) but I believe it can be set up with individual user accounts. Check with your local Canon photocopier supplier (these are sold/rented through that chain rather than through PC peripheral channels.)