Jim,
You might find some of the stuff in this article helpful. The guy's writing style and site formatting aren't the greatest, but he knows his stuff.
https://marinehowto.com/mppt-vs-pwm-solar-controllers/
A 100w panel would seem to be sufficient for the needs you detailed, but keep "mission creep" in mind.. once you've got the system up and working well, the desire to use a few more amphours now and again for things not currently envisioned might arise. A 100AH battery, for best longevity, shouldn't routinely be discharged to more than half it's capacity, so realistically figure it's capable of 50AH before requiring charging. Your 8A output estimate for your panel is reasonable given strong even sunlight, but that's for how long on a given day, and how many overcast or rainy days to you get? You might get 500 watt hours out of the panel on a perfect day, translating into 41AH of charge before allowing for losses and inefficiencies in wiring and a controller. Realistically, you'll get less than that... maybe significantly less.
What I'm getting at is that it might be worth getting a good MPPT controller to make sure you're getting the most out of your panel. I've got an el cheapo PWM controller that came with a Renogy 50w panel I use on my small sailboat. The panel works great.. the controller is a piece of garbage. I have no personal experience with this one, but it looks like a good choice although it is a lot more money than a $25 pwm controller...
https://tinyurl.com/wvr8o7t (link to product on amazon)
MonkeyClaw's suggestion re/ wiring two 6v golf cart batteries in series (or four in series-parallel and put in an electric hangar door opener and bigger fridge...
) above is a good one; lots of capacity for minimal cost. Downside is that they are heeeeaaaaavvvvvyyyyyy....