Propane is VERY worth having unless you have lots of solar and lots of electrical storage (or shore power). It is very good at heating things up (food and you). Unless you plan to invest heavily in solar (much more than you have listed above), I would install propane for stove/oven, water heater, furnace - maybe even the fridge. Assuming you plan to do any baking, you'll need an oven - either gas or microwave/convection oven. The propane powered refrigerators work (and don't use a tremendous amount of propane). That said, they can also be fickle, their installation is complicated, and they are not very large (capacity).
I am all electric with 1720 watts of solar and 10kwh of battery. My big refrigerator consumes 1,546 Wh per day. Throw in the induction cooktop, microwave/convection oven, coffee maker, hot water heater, etc. - a serious amount of electrical power is consumed every day (for an all solar powered system).
All that said, if you don't plan to do much cooking, don't care about hot water, and won't need heat... well... maybe propane would be a waste to install.