I just found out that blue green colors really bring out the beauty of wood. I know its not the same but I have honey oak cabinets and just repainted my kitchen a blue green and it really made the cabinets look stunning. Maybe you could try something in that color family to enhance the wood. Just a thought.

Deep gray and all the other accents in silvery old wood and cream. This will add drama, allow the other elements to bring ion light and set off the concrete wall as a true feature. If you want light instead of drama, then go for a very pale beige stone. It will echo stone colours in both the concrete and rocks...

I would love the rocking chair too, but way too expensive for me, unfortunately!! Yellow could be good... hmmm, will have a look, thanks

Photos would help us a lot but mint and grey usually goes well with charred oak.