If you use pine or any other solid wood, just be carefull with the end grains(split out) when you route them, so you should route those ends first for this reason(use a scrap wood backup if needed). MDF is more consistent but as mentioned, you need to be carefull with the dust so use a mask or vacuum while you're routing if possible. You may even find some "ready-made" plaques at one of the B&M stores for a very modest price that may be suitable combined with a wooden frame as a stand. Think of a design like a "hat stand" with a mounting plaque on it but make sure the stand has a stable base since the QS8's are deceptively heavy for their size and will be several feet up in the air.
