You title it about amps, but you ask about amphr.
Too many variables to give you firm answer, but I don't think 4 gallons a day will put dent on your battery power.
I hesitate to put solar as I camp in the shades and drive under branches a lot, but even with 30 gallons of water and older lights, single battery would last us 3 days.
I was carrying old 40W panel on few occasions and set it on the ground, what was sufficient to keep the battery charged for the day.
No fridge?
Than if you really want to know, put amp meter on the line and test pump 1 gallon catching time as well. The amps will change with delivered pressure, but you will get starting point.