Whilst I do not have knowledge of a board that will definitely work with the 400 series, the D435's direct predecessor the ZR300 did work with the powerful Up Board Core and this camera was even sold in Up's own online store.
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The D400 series cameras do not have a minimum processor requirement. They will work with any Intel or ARM-based processor. The only system requirement is USB 3.0.
If your looking for a Atom CPU board the LattePanda not expensive and is OK. Depending your needs it may do the trick.
If your looking for something industrial you would have to find a different vendor.
Chicago, you reminded me of a web-ad I've been seeing recently on one of the webcomics I read for a board from Aaeon.
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