This board is already seven years old, long before Windows 10, and no longer has support. http://ark.intel.com/products/42408/Intel-Desktop-Board-DH55TC Intel® Desktop Board DH55TC Specifications
What drivers there are can be found here: http://ark.intel.com/products/42408/Intel-Desktop-Board-DH55TC# @downloads Intel® Desktop Board DH55TC Specifications
While there are a few drivers for Windows 10 available in various places on the download center, they won't be shown in a search for content related to your board.
The Windows Update site has drivers that will support your board and they will be installed automatically during the Windows 10 upgrade/installation process. These are generic drivers, however, and some performance degradation may be seen (especially if you are using on-board graphics). You live with this if you want to use Windows 10 with this board.
Sorry we didn't have a better answer. The reality is your board is six years and five processor and chipset generations out of date. Compatibility issues have to be expected when using a product this old with the latest version of Windows...