Wow it looks like I am not the only one who has given this some thought...thanks for your ideas.
I will probably go with 275-60/15 in the rear, and something like a 225-70/15 in the front. That will give me 28" diameter to keep my cruise RPM reasonable, and the front diameter will be 27.4".
This scheme will allow me to use a 215-75/15 spare, which will match the rear tire diameter to within 0.3".
And yes, my understanding is that mismatched rear tires (diameter) will burn up a limited-slip rear. How much mismatch and how far you drive on it is a matter of degree. That's what Cass @ Dr Diff told me.
BTW the way I intend to pack a bottle jack, rather than a scissors or an OEM jack. Scissors jacks scare me; the bottle jack is compact, stable, and affordable.
Thanks again.