The first rule to gunfighting is to have a gun. That said, my wife used to keep her Smith 422 by the bedside with 12 rounds of whatever would feed. 12 rounds of .22 LR in a couple seconds where it counts is better than calling 911 and suffering the consequences.
What it finally took to get her to shoot the 9mm confidently was to take a friend of a friend, a smaller, shorter, chickey to the range with our group. When the short little wench was shooting the 9, .45, and 12 gauge competently, the wife changed her attitude about "noise" and "too much kick".
Notwithstanding, the .22 in the early days was all we could afford.
Out of the group you mention, I would lean toward the Browning, but push you out of the group to a Ruger 22-45 or Mark 3.
Another choice would be to buy a used Glock 17 and an Advantage Arms .22LR conversion. Think about where this choice will eventually take you..............