Congenital malar bags - Are there any success stories treating these?

Fortunately for you these are not malar bags. These are lower eyelid bags which can be removed thru the inside of the eyelid without a scar.  This is called a trans conjunctival blepharoplasty. See a very experienced surgeon who can show you natural results. 

Malar bags can be very difficult to improve with any modality.  Some people can get a good response, others none or even more swelling in the area.  You have already tried many of the procedures that we use for this - laser, thermi, filler.   Any of the energy devices such as laser, RF,, IR, may tighten the skin and make these less noticeable.   So you may want to try a different type of laser or do micro-needle with radiofrequency.  Hopefully one of these may help.     

I would use the Sciton resurfacing laser (variable pulse erbium) for these. Yours are not that bad and you should have a good response in both the malar bag and the lower eyelid skin. We do these with local anesthesia and theprocedure takes 10 min or so. Healing is about a week but would cover well with sunglasses