There is not really anything that will do the job you require at the OUTPUT of the amplifier....and another question, what is the POWER being fed to the transducer?
At that frequency and power the most likely transducer is a Piezo type device which is capacitive, so there will be impedance matching issues between it and the output stage of the amplifier particularly if the transducer is suddenly disconected.
IF the amplifier is a wide-bandwith sort of amplifier....so not some tuned thing like used in radio tramsmitters, I am assuming something more akin to a class-A or class AB, not class C, then as has been said above, the most logical option for a transmit-receive switch for a Sonar application will be at the INPUT of the amplifier where the power level, voltage and current will be small. At that point in the signal chain CMOS analog transmittance switch chips, like the 4066 or more modern equivalent, could be used and zero crossing switching could be achieved without all the nasty transients and switching edges messing up the output.
HOWEVER, if the amplifier IS a tuned sort of thing pumped by a class-C or switchmode type of stage, with a resonant circuit on the output that involves the transducer capacitance as part of the output filter...then FORGET IT, you will need to put on your engineer's hat and completely redesign the whole output stage from scratch.
Are you a PhD. student and doing this as part of your thesis?
If the amplifier is producing "noise" when there is no signal applied to the input, then it is either under designed or there is something wrong with it....maybe a noisy transistor in the front end, so you will need to put on your service technician's hat and fix it. At any rate, it sounds like you need to draw out the whole circuit of this side scan sonar, or get its manual and study it VERY CAREFULLY until you can work out what went through the head of the guy who designed it and you glean a similar insight into the nuances of its operation as he had.