I'm happy to report that I was finally able to find a filing cabinet that has a built-in slider in all of the drawers. I went to an office furniture outlet store and was able to pick a 4-drawer HON filing cabinet for a very good price.

If you can't find what you want at Staples or Office Depot (they only seem to sell hanging folder cabinets), try an used furniture outlet store. Also try liquidation sales and state government/university excess supply auctions.