When he releases it, use your shield. He'll hit the shield and you attack him. I don't even know why you would spam QD, it sucks. (no offense Light if you see this)
Spamming Quick Draw is a foolish technique, as it is with spamming any other move. There is quite a distinct difference between haphazard spam and concentrated offense, however.
Let's look at it this way: What does Quick Draw do? Basically, it provides a very fast mode of transport from point A to point B that has an attack that occurs if it connects with a hurtbox. Now then, why would you not use it? Because it has a colossal amount of cooldown time, so if you hit a shield you're pretty much going to be damaged.
But there lies the beauty of using Quick Draw to attack, note that the following applies to non-projectile characters, I can discuss some projectile ones later on, if anyone cares enough to respond to this.
Every defensive action in Brawl has many invincibility or shield frames. There is, however, a downside. They all have vulnerability frames right at the end. If you can charge Quick Draw as they are coming toward you, they'll instantly be wary of the attack and must perform a defensive maneuver, as the range of QD is really huge. Let's see what they could possibly do:
If they:
Shield - You wait for them to manually drop the shield. You need to predict this, as the shield drop time is very hard to punish with QD. Fortunately, there is very limited shield to use, know when a QD can break a shield, and release just before then.
Roll - If it's towards you, wait it out for the vulnerability frames and punish. If they roll away, swiftly catch up to them and hit them if they are in QD range, if not, do something out of QD, like a jab.
Airdodge - Same principle as the roll, but with another twist. You can go straight past them if they go high and airdodge.
Jump - Release, try to go under them and up tilt. If they are too close for comfort, just go past them.
Counter: Wait it out, very simple.
I know it seems risky, but it's all about mastering the frames. Your reward is anywhere from 9-16% (Usually towards 16, since you've been charging it) and the potential to kill them, and ruin that method of approach for them.
Yeah, I like this move too much.