I ihave this watch as well, and I recommend the following strap:
https://smile.amazon.com/MARATHON-Ballistic-Military-Stainless-Non-magnetic/dp/B00BBYGARG/ref=sr_1_6
It is the actual USGI strap that looks a lott like what came with the Hamilton watches in the 60s.
The color you want is the sage green (very dark, though) in 20mm, and you can get 11" or 12" length. They are reasonably comfortable new, but here's a trick that will make it very soft: wash it! You can do it in the sink or in the clothes washer (probably easier). I think the nylon thread is coated before it's woven into fabric, and when you wash this away, the strap is a lot nicer to wear.
Alternately, this is the strap Hamilton sells for this watch, which came with mine. It is lined with a nice, soft sueded leather, and you mighti like that.
https://www.hamiltonwatch.com/en-us/h6006841021-green-strap-20mm.html
You'll note that it is tapered and it looks fine.
I have my watch on the bracelet, which is of course another deal entirely!
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