ProRes to DNxHR (or FCPX to Avid?) How best to convert?

I work in FCPX. Just shot hours of material for another outfit that uses Avid. My footage was shot very flat (for highest dynamic range). Their editor/workflow is not set up to do any colour work. Their director doesn't want to be working with flat washed out material. So I want to do a working colour grade/stabilization etc. on the footage in FCPX and then convert it all to Avid's DNxHR HQ for delivery.

Anyone have a 'best way' this might be done?

I do have Resolve Studio. But I don't want to do all my fixes and quick grade in Resolve. I'm faster and happier in FCPX.

All I can think to do is create a ProRes 422 HQ of each shot, then batch the ProRes 422 HQ through Resolve to get DNXHR HQ clips. (I think ProRes 4444 or ProRes 4444 XQ might be overkill?)

I'd love to know if there is some way in FCPX one could 'batch' export a bunch of corrected clips from the timeline (as one can do in Resolve).

All ears,

Ben