Design opinion

I am doing the hidden dishwasher thing, three panel face,(outsourced), fluted pilaster flanking with hidden knife rack and spice rack. The problem, in attempting to make it look like a three drawer chest i need to put handles on each of the three simulated drawer faces. Panel material is 3/8th's, cant countersink the screw so it does not keep the panel from securing tightly against the dishwasher door. Also the pull point to open the door is not 5 or 6 inches down from the top(not great leverage). i could easily place the handle up high, in the top rail, but there goes the chest of drawer illusion. Had i built the panel myself, i could have beefed up the panel at least----any ideas? thanks

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