I've never had much luck with squeaks. You win some, you lose some.

I'll offer this minor variation to your option.

With some patience, you could cut the tongue on those boards and remove them. You'd try to not damage the appearance side if possible. Of course, you need to remove the screws you just put in.

An oscillating (multifunction tool) with the right blade makes this possible. Buy an extra couple of blades since you might encounter the hardwood staples while doing this. If you can tell that you are hitting a nail, bypass it while your blade is good and come back later with your worn blades. (BTW, you can sometimes get a little more use from a blade by filing some notches where the teeth are damaged.) Return any blades you don't use.

Then, you will be looking at the subfloor with some missing flooring. You'd step and push to isolate the squeak. If it disappeared when the boards were removed, good. If not, you identify where the joists are, then get some 3" screws to hold the subfloor to the joists better. At that point, you hope to have no squeak whatsoever.

You'd use construction adhesive to put the boards back and reuse your screws. I'd put wood glue (like Titebond III) where the boards were sawed. A few finish nailing would be good too. Then touch up the cosmetic aspect.

That's my best idea.