Request for case/reference ID help - nothing on caseback 1943/1944 era rose gold

Hi all,

Long time lurker, first time registering.

Firstly, I own this piece.

Secondly, not looking for a valuation. Could care less about the value of this piece.

Thirdly, not looking for authentication of verification of the piece.

I've done my best to try and ID the watch. I am trying to restore it to its former beauty and it came with a burnished and generic crown. I have had two different watchmakers look at it, order a crown, to only be disappointed and receive yellow gold, and the wrong shape/size for the era to boot.

I'm aware of what Omega did in (was it 2015?). I have a line on a supplier of vintage pieces. I just need help ID'ing the case. They couldn't do that for me.

Movement: 30T2 (some variant of, don't have the best photo)
Movement Serial: 9767491
Caseback Serial: 10613181
Model/Reference: Missing

I understand prior to the late 1940's, especially in precious metal models this is not uncommon. Unfortunately the watchmaker gave me some wonky tap/tube numbers so even ordering based on that info has thrown me off. 3

I really appreciate the help as I've looked for 10's of hours. Comparing other watches, ones for sale, write-ups, image searches and all with no luck. This will save me ~$160 CAD instead of having to go to the Omega Archives if someone can help me out. I'd be ever-so-grateful.

Was hoping this would be an easy ID!

Will be very difficult to find in rose plated... Suggestion: get the tube outer diameter tap size and find a used Bowler Hat type crown. Send it to a jeweller for rose gold plating.....

Wow! Thanks so so much I truly mean it. Imagine my surprise when I checked my post to see so much helpful information. From the direction on the crown type, to the hands information and the suggestion to order based on getting some better measurements. Admittedly I have a crappy micronometer so I'll leave that to my watchsmith and his professional grade one. Thanks everyone for responding.

I'll let you all know how I make out! I was so lucky to get a vintage Omega black strap for it (obviously not period correct but from what I can tell from the 50's/60's? And a silver buckle that IS period correct so just needs to be plated. I'm not against plating, just not sure how it'll hold up but worth a shot.