I'd search "hitting up with the driver" and find iacas's thread on the subject. It's very informative and the driver is a club you need to be hitting correctly to use; it doesn't hide mistakes. If you can hit a draw with every other club in the bag, the driver can still be very difficult unless you're perfect at impact. Plus it's easy to lose speed and control if you're off plane; I'd go to an instructor (such as iacas) and use every professional resource to learn the proper alignments for such a shot because doing it on your own takes a long time and your progress isn't always forward. His thread does note that the method he teaches for a fade can be changed into a pull draw with a positive angle of attack which is how I hit a draw with that club on the rare occasion I need it.
Personally, I rarely hit a draw with my driver or 3 wood. The high fade is my shot of choice off the tee, using a positive angle of attack but very little static loft. Hitting a draw with such a small amount of loft is very tough for me, and I definitely lose 40 or so feet of height. I'd need a shorter driver with more loft and a different setup to hit it like my other clubs, and I'd be giving up distance to do so unless I can create more speed. I use 7.5 degrees of loft on my driver right now, so I'd likely be hitting as much as 11 if I wanted a draw, and it would spin a lot more. I'd rather be hitting a 270 forced carry than a draw, though I rarely have the choice. Usually if I must hit a draw and a straight shot is so narrow as to be out of the question (ie, it's a terrible hole), I draw my hybrid or 3i with a low tee to place the shot. I give up 50 or so yards in doing so, and it usually means hitting a par 5 in 2 is impossible, but the draw with my driver will either end up perfect or awful. There's no margin for error so OB or woods is likely. On holes that dogleg to the right, on the other hand, I can get away with a slight miss.
Were I to set my driver up for a draw, I'd have to change my stance from open to closed and it's a pretty shaky look from my point of view. Not only is the ball farther forward in my stance, I can't see my target and I have to swing somewhat away from it along my foot line. I know when the shot goes off that it might carry 20-30 yards less than my fade, and I'm not that comfortable hitting fairways with it. Hitting a shot left of where my stance is aligned is not a comfortable feeling. I do often hit a draw with my other clubs from my wedges to my hybrid, since I'm hitting either a push draw or a straight fade 99 percent of the time. But shots off the ground are different than tee shots since you hopefully bottom out after the ball, so it changes the shots you can hit. The draw with a driver can turn into either a top or low hook and neither is playable.
Overall, you should tell whoever is holding a gun to your head making you try to draw your driver to get lost. It's a lot easier to pick a different option and very few strokes will be gained if you learn to do it.
Also, "lag" isn't something to base a swing off of. It's among the most misused terms in golf; don't base anything relating to the "release" or "firing the hips" off written advice or a swing video. They are buzzwords that are defined very differently by different people. There are some important concepts out there but they need to be understood rather than named.