I'm by no means an expert on bows but I will share the advice I was given by my instructor when I purchased my first "professional" bow. I was told to buy the best bow I could afford. lol.
Pretty lame advice, I guess, since every bassist has their own opinion about weight, length, wood, and what they consider as good. But, I think the point he was trying to make was that once I found a bow I liked, felt comfortable, and was able to afford then I should stick with it and really grow with that bow, rather than mixing it up in an effort to change my tone.
I think toman is right when he says certain strings will sound better on certain instruments. On a bright, mid-rangy plywood/hybrid you might want a mellow string to tame the overtones or if your mature bass has a strong fundamental then brighter strings could really add sweetness. I'm a jazz player and I find my cheap hybrid sounds really nice played pizz. with Spirocores, but when bowed it sounds very bright and acrid, so I bow close to the fingerboard to compensate.
As far as your other questions, I'm sure that different wood makes a difference in the quality, tone, and feel of a bow. I wouldn't worry about it though because you can manually "brighten" or "darken" your sound simply by adjusting where you bow in relation to the bridge.
Sorry if I'm no help at all but I gotta get in mandatory post-work comments!
Matt