Hey man, haven't seen you around in a while.
I can't really lend a hand with Dolphin performance tips, but I did look at the GPU that you have. It has no dedicated vRAM [shares memory with the CPU] and only has 192 shader cores at a clock rate range of 533 - 720 MHz, which is pretty much your bottleneck right there. AMD GPUs are indeed poor for Dolphin, which doesn't help your case. (Frankly, AMD CPUs and GPUs as a whole are terrible; they're cheap for a reason)
Maybe someone here can give tips for improving the performance, but given your hardware you'll need a better GPU [preferably Nvidia] to get more reasonable framerates out of Dolphin.