Fellow Delta fisherman here, I have a punching stick in my hand most of the year so hopefully this helps...punching is one of my favorite ways to catch fish and I think you're going to have fun with it once you get started.
You're going to be limited by the 3/4 or 1oz weights you have if you fish them as a texas rig...on the Delta you're going to want 1.5oz most of the time to get through the mats efficiently. I go down to 1.25oz sometimes, but never below that.
If you want to try it out without spending on tungsten, you can rig yourself a DIY Tokyo rig (aka punch shot or jika rig) using a little dropper off of your flipping hook. Nick Smith did a good video on this, but what this rig allows is for you to take two of your 3/4oz lead weights, put them back-to-back, and punch with that since you've got your 1.5oz. With that weight setup, some green pumpkin or black/blue beavers, and straight shank flipping hooks you'll be able to give punching a try on the cheap. Pitch in, let it hit bottom, pump it twice, repeat...don't go slow, don't let it soak, just keep moving and covering water.
Good luck!