My recommendation is to forget about on board graphics. Put all you money into the video card. I just upgraded my HTPC with a AM4 mother board, Ryzen 7 (2700) 2nd generation (3rd generation is out now), and 16Gb DDR4 3200 memory all for $230. I also got a 256Gb PCIE SSD for $30. You don't even need nearly as much processor as I got but the trick is get a decent video card. I am running a NVidia 1050ti but even a 1030 will have HVAC hardware decoding and can be had for under $100. The 1060 or better is recommended but cost in the $300 range. Even the stock cooling fan is dead silent on my Ryzen 7 so noise is no issue. Most of the time if you need an upgrade all you need is a new video card.
"Smart enough to know better, to old to care" ------ Dedicated Bat Cave Home Theater, JVC RS49U/Mitsubishi HC7900DW Projector, 110" 16:9 Jamestown screen with variable power masking for CIW 2.50:1 to 16:9, Marantz 7009 with 7.1.4 Atmos with Ohm mains,3 DIY Subs (2 15" (1 ported, 1 sealed and a 12" 4th order bandpass), 1 DIY butt kicker, Custom Built HTPC, 18TB DroboFS NAS