Why don't you run the tubes in the winter to save on heat and solid state in the summer to save on cooling the heat-generating tubes? You're right, you shouldn't wire them both at the same time.
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Use banana connectors and disconnect the amp not in use. You are actually robbing power if both are connected. I tried it with a receiver and an amp (theater/2 channel system), The receiver would light the power button on the amp and then on a demanding passage would shut down. I would hate to see your tubes pushed out of bias.