I asked to cite where you got your "information" that "Wisconsin is one of the few states that require the Prosecution to disprove a self defense claim beyond a shadow of a doubt, not push more of your unsupported claims as avoidance.
Here is how its done (Source listed in endnote):
"This (Ohio) is different from all 49 other states, which use the other standard of proof, “Beyond a reasonable doubt.”
"The standard of proof relevant in self-defense cases outside Ohio is proof beyond a reasonable doubt."
"The burden of proof consists of two distinct facets: the “burden of production,” and the “burden of persuasion.”
If you want to be able to argue “self-defense” before the jury you must first introduce evidence meeting the "the burden of production". "If there is any evidence, however contested it might be, you can argue self-defense. In most “good” self-defense cases there is little difficulty in meeting the burden of production."
And if the prosecution wants to prosecute you, they also have to meet the burden of production. "They are required to present evidence that you committed the crime you’re charged with, or the judge won’t allow them to take you to trial at all. This is not difficult at all in a self-defense case, because you’ve already admitted that you used force against the guy to defend yourself. Assuming all the burdens of production have been adequately met, it is time to proceed to the burden of persuasion."
After the burden of production is quickly attained, the meat of the trial begins. And once it does it is the prosecution that has the burden of persuasion against self-defense (other than Ohio).
"That is, the prosecution must disprove you acted in self-defense beyond a reasonable doubt. If they do not the jury will be required to acquit. It is hard to over emphasize how huge this is for the defendant in a self-defense case. The prosecution could easily convince the jury that it’s more likely than not that you did not act in self-defense. But that’s not enough to overcome a claim of self-defense. The prosecution could convince the jury that it’s highly likely that you did not act in self-defense. But that’s still not enough to overcome a claim of self-defense. Unless the prosecution can convince the jury that you did not act in self-defense beyond a reasonable doubt, you must be acquitted. To put it another way, so long as your defense counsel can maintain at least a reasonable doubt in the minds of the jury, an acquittal is yours."
Now this isn't quite as insurmountable as it may seem. Depending on the state, there are either four or five elements of self defense. "Avoidence" is the only element that may substantially vary, with "Duty to Retreat States", "Stand Your Ground States", and states like Wisconsin and California which have no duty to retreat BUT may take into consideration that a defendant didn't retreat when he could have.
All the prosecution need do is prove that the defendant didn't comply with one of those four or five elements, and the defendant is gulty.
If you don't know those self-defense elements, I'll provide you a link.
All quotes are from: Branca, Andrew. The Law of Self Defense, 3rd Edition (Kindle Locations 525-538). Kindle Edition.