You might be able to get a pre-owned Hamilton Murph. It's a little easier to dress up, versus the other khaki field models.
Throw on a canvas strap, NATO, even a rubber strap for sports use.
Get a vintage-style leather strap, sailcloth or perlon for casual wear.
To dress it up, there's all manner of leather straps, but you could give mesh a try too.
That's a great budget to throw at something pre-loved.
Easy choice would be an Omega Seamaster 300 or Speedmaster. Maybe look a little harder for a Heuer Monaco or Cartier Santos.
I'd probably try and take my chances and get a foot in the door with a Rolex. Oyster Perpetual or Air King.
It's even easier to split the budget between two that aren't quite grails but are still quite good(ex: used Tudor Black Bay & Oris Big Crown Pointer Date), but I'd be here all day listing those.