The reason inboard pumps are much noisier than external pumps is the need for the internal pump to be able to produce enough suction to lift water from an lower external water container. The only pumps that can achieve this and still be a practical size and power for caravans are "positive displacement"or diaphragm pumps. This type of pump has to have reciprocating parts , which inevitably makes the pump body vibrate. Caravans need to built with thin wall and floor panels and just like fine musical instruments they can easily amplify the volume of anything that vibrates in contact with it.
There are vibration absorption pads which can mount the pump on to reduce the transmitted vibrations but they will never be completely suppressed with this type of pump.
The alternative approach as used by many caravan manufacturers is to use an external submersible pump which is dropped into the external tank and becasue it is in the water it does not have to create an air vacuum to suck the water into it. You may need to prime the pump after refilling an external tank, but that is usually simply achieved by disconnecting the pump from the side of the caravan when you are about to refill the water tank, and then dropping the pump into the fresh tank before reconnecting it to the caravan.
The submersible pumps are quieter for two reasons, firstly they use a rotating impeller rather than a reciprocation motion, so the pump tends to be much smoother and quieter than the inboard pump, but becasue it is external to the caravan it is almost silent inside the caravan.
It is important not to allow submersible pumps to run dry as that will dramatically reduce their working life, so you need to be vigilant and make sure the tank is kept full enough to prevent this.
If you decide to change to an external pump, you would need to make some changes to the pipework where the old pump was, you would need to fit a water pump inlet fitting to allow the power to get to the pump, and you would almost certainly need a pressure switch. All these items are readily available from caravan dealers.