I hate to sound simplistic but you are just not hitting the cue ball on the bottom. Punching the ball, elevating, leveling off or no follow through at all, all of that does not matter. I have seen players draw the ball one handed, conventionally and as if they were shooting a shot with a bridge (but without a bridge) and draw the ball the length of the table. You must hit the cue ball near the bottom. And females, generally speaking, because of their strength limitations should learn to draw with extreme draw, which means as far down as possible without miscueing. If you are committed to learning this game, then the draw shot, once learned, will open up a repertoire of position play to you if you can consistently draw your ball.
Here is an exercise that may help you:
Before any practice drawing your ball:
1. File the edge of your tip so it will better accept chalk
2. Be sure to have a good piece of chalk that is soft in texture and adheres to your tip
Now, take an object ball and place it two or three inches off the side rail at the second diamond from the corner pocket. Place the cue ball even with the side pocket and straight-in on the object ball. Make a small mark on the table where the base of the cue ball will be placed near the side pocket. If you shoot right-handed, set it up on the left side of the table and vice versa if left-handed. You should now be able to easily line up the shot and draw (or try to draw) the cue ball back to the end rail. CHALK UP BEFORE EVERY SHOT. Try to keep your cue as level as possible. Lower your bridge hand, don’t elevate the butt of your cue. Starting out, shorten your bridge and with a medium stroke try to draw the ball with extreme draw. After each shot, you should be leaving chalk marks on the table a little behind where your mark is on the table, if not you are not contacting the cue ball low enough. After you get comfortable hitting the ball really low, try a little harder stroke. There is a distinct sound to a hard hit extreme draw shot. You’ll be able to tell by the sound as well as the action of the cue ball if you are hitting the cue ball low enough. If you have the power to send a cue ball placed at one end of the table to the far rail and back twice, then you have the power to draw the ball back to the end rail or probably farther. Remember, even the best players will sometimes hop the cue ball in their attempt to draw the ball. I’m sure you will have cue ball hopping of your own. But that's not all bad, because at least you're contacting the cue ball very low. If you can draw the ball back to the end rail three out of five times consistently, then your shorter draws for position will be more consistent because of your consistent low ball contact. But drawing the ball requires practice, practice, practice until you get it right. Then the game gets a LOT easier. I hope this helps you.
P. S. Change sides of the table if you decide to practice your draw shot a lot. And you might brush out the chalk marks when you’re finished practicing.