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As someone who has owned multiple Hamilton, Steinhart and Glycine watches I think you are looking a lot of the right places. If you don't mind Steinhart's straight forward homage aethetic they just released a 39mm GMT on a jubilee bracelet today which is appealing, IMO. Right in your price range and also available on an oyster bracelet.
http://www.gnomonwatches.com/watches/steinhart-watches/ocean-one-39-gmt-blue-red-jubilee-bracelet
If you are willing to stretch the budget a bit, you can get yourself a Sinn 556 which I have found to be a watch great for any occasion. You don't have the functionality of the bezel that you get with a diver, but you get one versatile watch (which sounds like what your primary goal is).
Comes in at 38.5mm across, only 11mm thick. It still gives off a tool watch vibe but is a little more "formal."
556i
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556a
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There are a lot of video and written reviews out there. The one drawback is they are only available online in the US, so you won't have a chance to see them in person unless you know someone who owns one. I will say it has quickly become my most worn watch in the past 6 months because of the versatility (I have a 556i on bracelet).
http://www.watchbuys.com/store/pc/Sinn-556-I-on-Bracelet-p754.htm
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