I ride cross country on a motorcycle a couple of times a year. I do a fair amount of photography on those long rides. I also do a bit of hiking when there's something to see on the ride, or a notable hike. I'm talking backroads, country and county roads...the small stuff.
I carry my d810 and the 16/35/4, the 24-70 2.8, and the 70-200 2.8 on the bike.
Of the three lenses, shooting a real mix of stuff, wide vistas to street, Americana to landscapes, closeups and flowers the lens that is most used would be the 24-70, with a very close second the 16-35. The 70-200 is used far less, actually just a few times on a 2-3 week ride. This tells me I am mostly likely shooting wide angle to normal, probably mostly 20-60 mm, so suggesting that my rides are somewhat analogous to your hikes, I would look at something in that range, and not seek something longer.
That said, there are two other cameras I carry because the d810 is not light with any lens, and heavier and bulkier with a zoom. The Nikon is in the back in a Pelican case. Kind of like having your camera in a backpack, and having to get it out. And put is back. Or, carry it. I missed many pictures because of that. So I got a little P&S a few years ago, the Sony RX100M2. I can put it in my jeans pocket. I carry it in my tank bag, right there accessible in front of me. Very convenient. And for those times when anything will do, or I don't have either camera with me, there's my Note 9 smartphone.
You also might want to consider a lens that is water resistant, tho that info is somewhat difficult to get beyond the "wisdom of the internet." I suspect that you sometimes get rained on? If hiking were my primary focus, I'd go for the P&S, if photography, I'd bite the bullet and carry the 810 with either the 16-35 or the 24-70, or truth be told a 35mm prime and not worry about having the "wrong" lens. Like Stephen Stills sings, "if you can't be with the one you love, love the one your with."
As for utility family stuff, that's wide over tele for interiors and outside you can zoom with your feet.
