the powerwall product is for a few things.
1. Performing the function that many people use a Generator for, which is providing power when the grid is down.
2. Allowing people to use more of their own solar power, and reduce dependance on the grid
3. allowing people to "load shift" and use their solar power later in the evening when the sun is down, for maximizing higher charges during time of use plans.
In the US, powerwalls dont make a ton of sense except for niche situations, when used on their own without solar.
When used with solar there can be some cost savings, but it depends on a few different factors. using very simple math, assuming you could get enough solar to completely cover your 200 a month power charges, that means you spend roughly 2400 a year on electricity. Making an assumption that it would take 24k to install that solar system (which is above your budget), gives us a round 10 year payoff (not counting time of use shifting with a powerwall, etc).
The payoff for most solar situations is fairly long, which works if you are going to stay in your home. You have to come out of pocket quite a bit up front. It sounds like your main goal is "lowering running costs". If you are not concerned about power outages, you would want to start with solar if your utility does net metering, as mentioned.
Powerwalls help provide power "independence" as you dont have to worry about being without power unless the system is not functional, or you go though a few cloudy days at the time the grid is down.
your communication issues with Tesla might stem a little bit from the fact that they operate more like a warehouse club in many aspects (or another analogy is sort of like buying from Amazon). Tesla does not do well with "hand holding" and tons of pre sale questions. They expect you will do all that research yourself, and have specific, direct questions regarding your particular use of said product, after doing your research.
if you want / need a company to explain it all and set it up for you, tesla is not that company. Many third parties pride themselves on customer service, so that is where you should start (although in general, there is no free lunch... good service costs money).
Based on your OP, It appears to me that you are just getting started in your research, so I can absolutely see tesla being difficult to work with in that situation.
Before you start thinking about what brand panels and inverters work well, you need sit down and decide on a realistic budget for what you want to accomplish, and decide exactly what you want to accomplish (and how long you will be in your current residence).
My advice would be to start with looking at solar, if you are going to stay put a while. Having just had powerwalls installed in january, after having solar since 2015 myself, I can no longer imagine having solar without powerwalls, but thats because I am putting a value on the "generator / backup " portion of the product.
This part of TMC is very friendly, with tons of super helpful people. Hopefully we can help you figure out if it works for you.