You will quickly acclimate yourself to the 4600' elevation during your stay. Starting at 8600' for a multi-day visit isn't going to give any advantages.
How much diving will you do? How close are you going to be pushing it? How fast are you transitioning from the dives to going up the mountain?
For reference I like diving in San Diego. To get home there is a 4000' mountain pass I have to go over. I know one dive shop that requires you either spend the night in San Diego after diving or drive up through LA and come back that way since the mountain pass is much lower (This is a Phoenix, AZ based shop). From Long Beach I tend to drop into San Diego to get home faster by avoiding LA, this is how crazy the head home through LA plan is. What do I do? I enjoy the boat ride back to shore, load up the truck, go find a nice sit down dinner (or lunch). Then take that 4000' mountain pass. I'm 3 hours+ out of the water, it is a slow and gradual climb. Not a rapid ascent (think airliner, unpressurized). It is also a smaller pressure change starting at sea level than starting at 4600'. Then again, how much gas are you actually racking up in the Blue Hole?
I get it, some will take the most severe guidelines and apply that as a blanket answer to every situation. When in doubt, throw more layers of safety guidelines at it. Or I just look at the tissue loading graph on my Shearwater, nothing is high and it is dropping off fast as I am eating before my drive. Off I go...