I really love my 1953 Longines (cal.23Z). The case is solid 14ct. I paid a fraction of the OP's budget on an eBay auction. Most excellent timekeeper too.
For that money you're close to a very decent Omega Pie Pan...my personal favourite and absent from my little collection..
And if you are lucky, for $1,200, you might be able to get both, so long as the Constellation is a dome dial like the @STANDY version. gatorcpa
For the record, since the time I started this thread, I have also acquired a nice stainless 167.005 piepan Connie with the help of the generous folks on this board. And still the sickness shows no sign of waning.