Another option that works well is transporting the very hot water in a cooler. When you get on site, you use a small pot with a handle to bail out some hot water into a bucket, then add cold seawater until you get the right temp.
Then this is important, you use the pot to remove the mixed water and test temperature with your lips. You can be burned badly if you pour water that is too hot down your neck. The suit will insulate you and it can be serious burn. I suppose a thermometer might work too.
. You might think you can just stick your hand in the water, to test, but in cool weather, your hands can get cold and insensitive, so that is unreliable. Most everyone is used to sipping hot tea or coffee, so we are already good at cautiously sampling hot liquids in this manner.
Even when you are satisfied the water is cooled sufficiently, it is prudent to just pour a tiny bit down the neck, before you really commit to a big pour.
During the day, as the water cools you will be diluting with progressively less seawater and possibly none at the end.
If splashing of water out of the coooler is a concern during transport, you can just fill up gallon jugs of hot water and then place them in the cooler for transport. The cooler will keep them pretty hot all day. Prefilling boots and gloves with warm water is really nice as well.