First of all, your primary site for getting driver updates should be, in your case, Toshiba's support site. Using iDSA, you would be getting the generic releases of the drivers, which could, in some cases, cause serious problems. For example, the graphics drivers may have been modified by Toshiba to support unique attributes of the laptop's hardware. In this case, replacing it with the generic driver version could result in a system that does not display properly.
Secondly, your laptop's hardware is not supported, by Intel or Microsoft, with Windows 10. Most issues that you will encounter cannot be solved by driver download because, well, there are no drivers to download. Your hardware is only supported by the compatibility drivers from Microsoft (which you already have). Further, if you have problems on unsupported hardware, Microsoft will not provide assistance.
Bottom line, your concerns with download speed are moot; you have bigger problems to worry about.