The only thing i can think of is to add a 26" peninsula next to the stove to accomadate the cabinet on the other side of the stove so you can put the DW there( next to the stove and near the drain and water supply. Or move the fridge beside the stove and put it there. I am pretty sure those are already things you thought of but thats all I got.

It would need to be some kind of portable unit.

Its hard to say with out exact measurements, but what if you got another base cabinet, then the DW and a base end panel on that short wall between the doors. Then put the same counter top on top of them (this is, if you can run water into that area). Otherwise, You have to move the fridge, and put the DW next to the sink, and move the fridge.

Have you got a drawing of the layout? It's hard to suggest without knowing what spaces are around it.

I'm not totally sold on this idea but, by moving the fridge to the space between those doors you'd have an easy time of installing your DW in that spot. My concern about moving the fridge though is that it may feel crowded. If you could use a slightly smaller fridge it could then be set into cabinetry panels on either side and an upper. It would be even more stealth to wrap a new fridge entirely in cabinetry (the front panels) so it "disappears".