As a person currently dealing with an overabundance of apples right now, I hear your concerns!
However, I was pretty sure that apples are a fruit that requires cross-pollination, and confirmed that here:
https://www.purdue.edu/newsroom/releases/2017/Q4/apple-trees-bear-more-fruit-when-surrounded-by-good-neighbors.html
So first off, you need to have the grafts blossom times overlap even if the fruit ripens at earlier or later dates.
Secondly, have you thought about training the tree and grafts into an espalier form? I have a Japanese pear tree with at least 3 different varieties of fruit (pears also need to cross-pollinate), set up with 3 parallel wires and 3 branches going each direction off the main stem. It's right beside a path, so the controlled shape is really convenient. I bought it set up with the grafts as it was on sale and near my birthday... any excuse will do? The wires give the branches
enough support even when loaded with fruit, that I'm not concerned.
In your situation, if you were going to try something like this, you could actually have 3 varieties that bloom early on one side of the tree, and three that bloom later on the other side. With the set up relatively short (top branch on mine is about 4 ft off the ground), if you don't spot the
bees visiting, it's easy to hand pollinate (some years I have no choice.)