commonsense: i can see you have a lot of it. i don’t know too many people who would think like that.
my shul decided they can’t pay a rabbi full time, necessating a second job for the rav. so they had a meeting with all the members and the rabbi to decide when the rabbi was going to be available during the day for the members and when for non-members. they came up with a plan reasonable for everyone and now we all know when we can call him and when we can’t and when we can tell non-members to call him. he’s also available for emergencies i believe but not guaranteed. so you can try, and if it doesn’t work you call another rav.
that’s in america.
here in e”y i have threee rabbis and a primary one that all have differnt available hours pretty much so i know when i can call each one. they all have basically the same shittas, and if one gives me a psak that sounds like something my primary rabbi would disagree with i try to go over it with him before i implement it.