Hi Carolyn -
<<"We are traveling in August, arriving Zurich 24, Aug 2020 and departing
for Appenzell the next morning 25 August. ">>
Good time to travel, although there will be high tourist density, which drops off quite a bit in early September. Dates can be important at times of schedule changes of public transport in other months.
<<"Are you suggesting we stay 4 nights in Murren, 3 nights in Zermatt?">>
That is what I would do, given your priority on hiking.
<<".<<" It does appear there is lots of
hiking to be done in the Murren area, which is the primary activity for
us on this trip.">>">>
Either way would work OK, of course.
<<"My husband is pretty keen to see
the Matterhorn and I know weather can be a challenge so we were trying
to maximize our opportunity to see it. ">>
Remember, a day trip to Zermatt, though definitely not a short journey from Mürren, is within reach from Mürren if the weather reports so indicate, and the specific goal is to see the Matterhorn.
I like this site for detailed local weather:
www.meteocentrale.ch/e n/europe/switzerland/w eather-berne/details/N-3513023/
By the way, although most people will understand you, especially in a tourist region, if you say or write Murren, the correct spelling is Mürren, which is pronounced a bit differently.