It's unclear from the OP whether the 1x6s are oriented flat / horizontally, or if they are on edge, vertical. It is also unclear to me if it is the platform that is bowing in the middle, but if so that would seem to indicate that the 1x6s are likely flat and that the span is too great for the strength of the platform material.
My suggestion is replace the 1x6s with 2x6s and add a 3rd 2x6 between the wheel wells, also flat, with its ends supported by stubs of 2x6 placed flat against the sides of the wheel well tubs so as not to impeded the central storage under the platform. That would seem to be the most direct and most inexpensive fix.
eta just googled up some images of a Tacoma bed, I now see the flat slots / indentations. Just put a 2x6 in there, you don't need the full edge support on your platform. Particularly if you put a 3rd crosspiece in. That is if you aren't compelled by OCD / asbergers to only use a 1x6.
You could also notch the ends of the 2x6s so they sit far enough down in the notches so they remain flush at the edge supports. The remaining wood ought to be strong enough, while the thicker middles resist the weight.
But the most direct solution is to put a vertical divider / support up the middle of the bed, supporting both your flat 1x6s and your platform. And being on edge it too could be a 1x plank, of whatever width / height you neeed to reach up to the platform underside.