Nigel, PJ, Sandy, and Nigel, thank you all for the ideas, they've given me a lot to think about. As a former cabinetmaker I might well end up building something that incorporates elements of all of them... but whatever eventual solution I end up going with it needs to have a footprint big enough to park the AEG in when it eventually gets done (so at least 12x24").
Neither of the IKEA units seem to be available here in the States, looking at their website they offer open shelving only. They've apparently rolled back their presence here; there used to be several stores within an hour's drive, but the nearest one now is about 75 miles away. Too bad, as in a lot of cases I couldn't even have bought the materials for what they were charging for the finished pieces.
Thanks again all!
Dutch