Man, I've love to point you to a COTS piece of equipment...but I just don't think one exists out there. The solid-state silicons are out there, as you've mentioned, but that's obviously not what you're looking for.
Can't say for sure, but I'd bet that the Remote Sensing Laboratory is prototyping or, at least, developing something like this. I've not heard any of the big vendors even mentioning such a thing. You can imagine the challenges in getting a real-time sample enough "quality time" in front of the scintillator to get a confidence worth a crap. With the incredibly low concentrations in real-time analysis, the NaI and LaBr3 simply needs more time to work out the statistical variances in the signal to get a good enough spectrum. Not at all saying that it can't be done...I'm sure it can be done and likely has. The question is in reproducing consistent results outside of initial testing, to the point where it can be marketed on open market..
Oh, and as for that Navy air monitor...I've been out for nearly a decade, but the IM-239 was in use then. It may have been solid-state, but without spectrum capability. The newer ones were supposed to have some ability to spectrally back-out radon-thoron progeny interference, but only off of an educated guess. No gamma spectral capability there either. No clue as to what they ended up with or how available it is, but I doubt it would equate to what you're looking to find.
Happy hunting!