Alright, it seems that the battery backup is still your best option so I'll try to address your original question. Watts are a measure of power, which is the amount of energy used over time, watts = joules / seconds, joules are a measure of energy, joules = volts x amps. The energy of baterry backups is measured in VA's which are the same as joules. So if you have a 50w pump and a 150w heater which isn't on all the time so it probably uses about 25w on average, thats a total of about 75w. Since you need 2-3 days of power,
(3 days) x (24 hours/day) x (3600 seconds/hour) = .
(259200 seconds) x (75 watts) = 19440000 joules
So you would need a battery backup with a capacity of about 19.44 megajoules
APC seems to have some things that might work but they'd be very expensive. It'd probably be cheaper to go with solar panels and batteries for the nighttime.