You can probably just turn up the pressure switch on the well pump, and change the timer on the back-flush.
You don’t want a standard air over water tank after a bladder tank. It won’t get the air charge it needs, and the AVC won’t be needed cause there is no excess air to let out.
A booster pump won’t help when there is no extra water to boost. And don’t fall for the constant pressure pump unless you just have extra money to throw away.
Next option is to use a cistern type tank, (larger than 80 gallons). Fill this vented tank with a float switch and solenoid valve after the softener. Then you can get a good jet pump with a little pressure tank, and a CSV would be helpful, to boost water to the house.