The depth of the module is more like 40 mm with the plug on.

Yep! No good for 4ms Pods (original depth).
MMG, Maths, no Problemo.

Yeah, I was hoping the Mordax Data could fit, but it’s 40 mm with plug.

I wish they had made those pods just a smidge deeper.

Pulplogic LBZ42, maybe? It'd give you 50mm depth over the bus board, comes powered, plus you get a 1U (conventional height) tile rail for a bit of extra basic functions, all for a measly $200.