I got to thinking. Since the only time you seem to have a problem is when you have company from out of town, it may be better to have put the electric first so most of the time you can have it turned off and you will not use any electricity and will not have any standby losses (heat loss from the tank). Then when expecting company you can crank up the electric unit. You might even set it up to heat just a little to temper the water rather than heat it so the gas unit can do the real work.