I believe the cal 550 was made for the US Seamaster Devilles to keep down import duty, so the cases from the cal 552 powered Seamaster Devilles should also fit, as TDN-dk has told you above.
I think it is going to be quite tricky to find a case on its own, but they are definitely out there, here is one on Ebay at the moment, but it is gold filled (
https://www.ebay.co.uk/itm/OMEGA-SE...517996?hash=item1a746e08ec:g:vs0AAOSwxbFcXDzhPurchases made through these links may earn this site a commission from the eBay Partner Network).
Alternatively, when I was actively looking for a Seamaster Deville, there seemed to be a fair amount with badly worn dials and movements which were not working. It might be best to try and find one of these with a correct case, and recoup some of the cost by selling the dial/movement etc. here is an example of one I had a while back with a 9k gold case, but the top right lug was bent, and the movement was not in great condition. I ended up moving it on. I have also attached an interior shot of the case incase it might be of any help to you, from memory I sold it for about £350.
View attachment 722522
View attachment 722521
Best of luck!
[Edit: re-reading your post, you mention the back of your watch is Stainless Steel, which I would imagine meaning that your watch is gold filled. If this is the case, the eBay link above should be the right case (I think)?]
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