I'm assuming you'd save the time needed to "preboil", which can be considerable. I see no reason why you cannot add your mineral additions after the yeast/dex deox method when you're raising to mash temps. The goal is simply to get them well dissolved prior to doughing in.
As far as BrewtanB gallotannins go, I cannot find a scholarly article pertaining specifically to zinc chelation. I've been able to find information on almond, walnut, and hazelnut chelation of zinc. Zinc happens to be one metal that is highly variable based on the actual tannins being utilized with anywhere from 0-84% chelation based on nut tannins utilized ("almond tannins bound as much as 84% Zn(II), whereas the value for walnut tannins was only 8.7%; and for hazelnut tannins, no Zn(II) chelation took place at the levels tested."). If zinc is a major concern then you may want to put more research into this topic. I think that while zinc is a necessary micronutrient for living cells, I would suspect that insufficient zinc would manifest it's drawbacks in future generations. Most times the "symptoms" take a couple/few generations to manifest. With this in mind you may choose to use a couple generations in the normal low oxygen method with Brewtan B, and then (using a slurry culture) rebuild the yeast in a normal starter environment (DME, water, nutrients, oxygen) to build back in the micronutrients the yeast may have lacked over a couple fermentations. Or, use a yeast for a couple generations and then start new with a fresh lab yeast.
As h22lude said, a false bottom or possibly even just a torpedo (I think they're called) (i.e. a screen tube affixed to the inside of your drain port on your MLT) would be sufficient to keep the bag from getting sucked into the drain port.