I really like the wood. I see everyone on etsy using flat white backgrounds, I think the wood is a nice change. To me the second one is so white it's sterile, not super inviting. But clean, if that's what you're going for!
For underneath, if you do choose wood behind, maybe you could do a bit of fabric - even split the difference and do a nice white soft fabric (like a fabric napkin). Then you have the white that some like, and a bit of nature in the background?