I feel your pain. But, it's not just the APA. I play in the BCA and am constantly fighting the fallacy that if you jack up you can fram though the shot without a foul.
Here is why the double hit is not a foul in the APA. This is straight from the web site. If it's not on the list, it's not a foul. So, your opponents can fram through the shot to their hearts delight.
[B]These are the only fouls resulting in ball-in-hand. All other violations are
sportsmanship violations. The ball-in-hand fouls are as follows:[/B]
a. Anytime the cue ball goes in a pocket, on the floor, or otherwise ends up
off the playing surface.
b. Failure to hit a correct ball first. (A player who is shooting stripes
must hit a striped ball first.) The 8-ball is not neutral. In general, the
shooter has the advantage in close hit situations unless his opponent has
asked an outside party to watch the hit. Protect yourself. If you think
your opponent is getting ready to shoot a shot that could possibly be a
bad hit, stop him from shooting and get someone to watch the shot.
Potential bad hit situations are usually fairly obvious and protests and
disputes over these close situations can almost always be avoided if
someone is asked to watch the shot. If the outside party cannot
determine which ball was struck first, the call goes to the shooter.
Teams involved in repeatedly calling bad hits without outside party
verification may be subject to penalty points for disruptive
unsportsmanlike behavior.
c. Failure to hit a rail after contact. A rail must be hit by either
the cue ball or any other ball after the cue ball and the object
ball contact. A pocketed ball counts as a rail. Even if the ball bounces
back onto the playing surface, it is considered to have hit a rail, as the
pocket liner is part of the rail. A sentence that should answer many
questions is: ANY ball must go to a rail AFTER LEGAL contact.
d. The object ball is frozen to a rail and the player is contemplating playing a
safety (see SAFETY described in Definitions). In order for the following
frozen ball rule to be in effect, the opponent must declare that the ball is
frozen and the player should verify. Once it is agreed that the ball is
frozen, then the player must either drive the object ball to another rail (of
course, it could hit another ball, which in turn hits a rail), or drive the cue
ball to the rail after it touches the object ball. If the latter method of
safety is chosen then the player should take care that he quite obviously
strikes the object ball first. If the cue ball strikes the rail first or appears to
hit both the rail and ball simultaneously, then it would be a foul unless
either the cue ball or object ball went to some other rail.
e. It is illegal and, therefore, a foul to jump a cue ball over another ball by
cuing it up in the air (scooping) on purpose. Accidental miscuing is not a
foul unless other rules in this section are violated.
f. Receiving illegal aid (coaching from person(s) other than the coach)
during your turn at the table. To determine what is and is not considered
coaching, refer to COACHING in the General Rules Section of this
manual.
g. Causing even the slightest movement or altering the course of the cue
ball, even accidentally, is a foul. Even dropping the chalk on the cue ball
is a foul. It is not a foul, however, to accidentally move any other balls
(including the 8-ball) unless, during his turn at the table, a player moves a
ball and it in turn comes in contact with the cue ball. Any balls moved
accidentally during a shot must be replaced by the opponent after the
shot is over and all balls have stopped rolling. If it occurs before the shot,
it must be replaced before the shot is taken.
EXCEPTION: If an accidentally moved ball comes in contact with the
cue ball, creating a foul, no object ball will be replaced.
h. If, during the course of a shot, the cue ball does not touch anything.
i. Exercise caution when picking up or placing the cue ball in a ball-in-hand
situation. The cue ball is always alive. If the cue ball, or the hand
holding or moving it, touches another ball it is a cue ball foul and your
opponent has ball-in-hand. Be especially careful when you are picking up
or placing the cue ball in a tight spot.
j. The player or his coach (during a time-out) may place the cue ball in a
ball-in-hand situation. The same rule regarding placing the cue ball
applies to the coach as it applies to the player. If the player, or coach fouls
in the process of placing the cue ball, it will be ball-in-hand for the
opponent. Therefore, it should be the player’s choice if he wishes to place
the cue ball or allow his coach to do so.