Hi Murlin,
When dealing with batteries there are a lot of things to consider beyond their cost.
Solar power systems around here were recommending 11 days of storage.
Max record of cloudy days. This advice doubled the system cost.
Battery discharge depth is a common question.
Plans that limit discharge to 25%, the battery cost will be 2x verses a plan to 50% or 3x 80%.
Many will recommend one of the above. Time effects dominate most considerations with a Lead acid battery; time of discharge, time battery is discharged, time to recharge, etc. Understanding of these effects can help lead you to a good choice that works for you.
These are all valid plans, most importantly consider your objectives and your situation.
Be honest with yourself, write them out. Then research the cost associated with each choice. Rethink your objectives after you discover their real cost. This is how I do things. I will repeat the cycle until I have found the best information I can find for the time I'm willing to put into a choice, make the choice and stick with it. I use emotions for setting goals and logic to achieve them. (I think that's a quote?)
Assuming you have a generator and fuel is readily available even if costly, sizing of the battery to the average need, using the generator for above average need is often lower cost long term.
How do you do this? Use the present cost of each system to compare.
The fuel is an on going cost, make assumptions on how much will be needed, then convert it to a present up front cost. Makes for much easier comparisons of systems, do same for battery...
Remember a deep discharge battery is designed for an 80% discharge, it's made for it. But, the less it's discharged the longer it will last. Yin, yang. Talking to a few golf course technicians using electric carts, the batteries last 1 to 3 years, couple fail in the first year, about half fail during the second year, Most all rest fail in the third year.. If the golf cart application is not the worst for the care of a battery I do not know what is. Well maybe electric trolling motors, lots of people I talk to kill the battery before charging. Then they have to replace every season. Most don't keep charged over winter!
Have fun,
Scott.