I think you can pick up an IWC pilots watch in 36mm in good condition for that budget, if used is an option.
The Longines spirit is 40mm, but a great choice otherwise.
Lots of options in German watchmaking but way under budget, and perhaps not the same Cache.
Equally, the Hamilton khaki pilot: Swiss made but way under budget. might be a bit niche though (cushion case, vintage lume etc)