So we have made the first prototype. We ordered the wrong formfactor for the MAX1704X chip and forgot to order a 270k resistor. But we were able to bypass the MAX1704X chip and find a replacement resistor. Below are a few pictures of the progress.
Here is my attempt at making and adapter from the formfactor of the MAX1704X chip. It didn't work out in the end and we bypassed it.
Bare board before any soldering.