Renogy sells good modules. The 100W is 12V nominal, so it's popular in the RV industry. When handling them, be careful not to scratch the back-side (that's true for all modules).
With the right BOS (balance of system) you can have almost 2kWh a day in UT with an off-grid system. But your budget is going to make it tough. Without buying a pretty serious charge controller, you're limited to a 12V battery bank. And that kind of sucks with larger arrays and inverters - big wires required to carry the current. You really want to try to run a 48V battery bank. It gives you better options when providing power. And 4 - 12V/100Ah batteries in series will handle most of the power the array can provide.
As for charge controller, do not go cheap. Cheap ruins batteries. Quickly. Outback, Morningstar, Schneider, Midnite Solar... these are the names to look at for charge controllers. Most can handle 150V open circuit, so you'd be able to hook all your modules up in one string.
Cheap inverters will work for awhile. Pure Sine is best, but not a 100% requirement.
The math on design gets ugly and I'm tired, so I won't get into it. But there are lots of off-grid gurus out there. Probably more in your neck of the woods than mine.
You're probably going, "huh?" But that's OK. Terminology comes with experience. Read.
There are a ton of good books out there. I've got a shelf full of them. Photovoltaic Design & Installation for Dummies is actually pretty good for a laymen book. The author, Ryan Mayfield, is a colleague and damn sharp. I've sat in on his solar training and have been impressed.
And as a guy who makes a living designing solar systems, beware the "experts". They screw up more than the rest of us.
B