Some vintage Technos Sky Lights might be worth a look, they were essentially pie pan Constellation homages in their day.
As far as I can tell, all these Sky Lights are actually sort of a faux-pie-pan. That is, they use flat dials with angled indices and different finishes to give a 3D optical illusion.
Might still be worth a look, they pop up on ebay and chrono24 occasionally, for a lot less than a Connie. Especially nice if you get one with the fitted end mesh bracelet.
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[ Photo credits:
Technos Sky Light - Chronopedia ]