https://www.amazon.com/dp/B000M5VXVS/ref=emc_b_5_t
That guy should do it for you. I use the 407 model that doesn't include the microphone or sound switching and kind of regret it. I use my iMac G3, Dell XPS 13 dock, Windows XP system, and IBM rack server on that switch. Works very well.
Honestly, even the no-names should be able to handle that resolution. I use a switch with my 1600x1200 LCD for the vintage PCs(Windows 98 at 1600x1200 is a hard read) without any sort of quality issues.