I can't see your system spec from here, but it would seem to be relatively simple from the system design perspective to use a digital class amplifier and add shielding and filtering, and still end up with a better solution than an analog amplifier in the 'tens of kilowatts' class. Maybe. Maybe not. It should not be rejected outright.
Keep in mind that you're going to need filtering and shielding in spades anyway to keep the kHz (?) sonar signal itself (meaning the conducted and radiated EMI emissions from the system and its wiring) in check anyway. MHz switching noise is probably easier to filter and shield than your kHz primary signal with 'tens of kilowatts'.
Plus, the system is likely to require a massive power supply, which would presumably be switching (as opposed to linear) these days. So there's going to be some switching I'd think.
If the amplifier can be installed next to the transducer, in the depths of a Navy ship, then it should be easy to keep the EMI in check.
Just some thoughts in case they help. Cheers.
PS: I did use my best Google-Fu on your original post, but found nothing.