Showmebob;
When I teach concealed carry courses there's a number of drills I teach that do not use the sights. All are up-close-and-personal.
1-2 steps from attacker I teach draw and shoot from the hip. You can put rounds center mass all day long without aiming, while keeping your support arm free to block them if they rush at you.
2-5 steps from attacker I teach the above (if they are rushing) AND shoot from close-in retention two handed (if they are not). A person can easily close that distance and contest your gun if you "stick it out and hand it to them". Again, sights are not even in play, the gun is in front of your torso.
5+ steps from attacker (7-10 yards) I mask off rear sights and teach students point shooting; from retention, extend both arms and fire. You can easily hit center mass without a front sight acquisition (masking off the notch prevents it). With sufficient practice, you can even reliably get headshots without using the front sight from 10 yards.
Further out I teach always acquire the front sight.
I also teach if the attacker is under concealment / cover, don't point shoot, acquire the front sight and then take the shot. Smaller target makes precision more important. If the target is fully exposed, precise sight alignment isn't necessary for rapid shots on target center mass.
We also do move-while-shooting drills both with sights masked off and not masked off so students can get an idea of accuracy differences if they focus on the front sight while moving.
Natural pointing guns (for you) will always work better, but again, shouldn't really be required if you spend enough time with the gun.
The above drills are something you can generally run on any outdoor range where you are alone on the firing line or the others with agree to set the firing line closer to targets to practice.
I like shooting from the hip from the draw, feel like an old time cowboy, and it's always a good feeling when you plug the x-ring without aiming. Inside 5 yards I can put the bullets right exactly where I want them to go from the hip.
(Hip = point 2 of draw, close retention to torso 2 handed = point 3, extended arms = point 4 when I teach.. master grip is point 1, not a shooting position but the most important of them all...)
In classes I'll run drills where I count 2-3-4 and the students draw and fire from that position. I try to correlate these to distances to teach them "if you are this far away this is an option". So I also adjust the line's distance with commands in between shots. Also call # of shots to put down too.
E.g.
"Two steps forward. {wait} "Fire two shots from 2" - class draws and fires 2 shots from the hip.
I'll also do drills where we start from a point - 2, 3, or 4, and if I say "FIRE" they fire a shot, if I say ANYTHING ELSE they stay in place. Teaches them to think and be aware with their senses (including hearing). Every class someone always falls for "FRIEND", or similar.
Defensive shooting practice is fun, much different than just setting up targets and plugging the x ring.