If you want the application to be maintained in one central location and accessed by the users over the web...go with a web application. If your team is more familiar with Windows Form applications, there's going to be a learning curve involved with this option (maintaining state, dynamic controls, page events, the DOM, etc.) so the time investment is going to be greater.
If you want the clients to have a rich interface installed on the desktops that you can manage easily from a central location...go with Windows Forms (or WPF to provide a nicer user experience). Using ClickOnce for deployment will make sure that the client applictions stay up to date. It sounds like this would be the more familiar option for your team and produce the best product in the shortest amount of time.
If your users are all inside your corporate network, either option can use a central SQL Server database (or shared Access/SQL Server Compact Edition/SQLLite database).
Don't get caught up in the hype. Web appilcations aren't always the best option.