I'm no authority on the subject. I'm just going to break the ice with some of my observations on certain matchups with The Baz.
The Baz seems to do very well against her. Her steep angle combined with the speed of her kick means The Baz can whiff for meter at his leisure. Once you have as much meter as you want you can use his optional angle to divekick just out of Redacted's range. Once you're there you can press the attack with either a divekick or a Mighty Swing. The Mighty Swing is the safer option IMO. If you do the Mighty Swing just out of Redacted's divekick range then it will cover nearly all of the area she can occupy at that moment(staying still, jumping, kick-backing or Feral Stance). Her best chance is counter kicking you while you are doing a divekick, but her speed and your ability to delay your attack should give her troubles. I think the only thing The Baz has to worry about is Redacted's Cornered Beast.
I think this is also a good match for The Baz. S-Kill can't punish The Baz whiffing for meter except for his Trick but by time he has the meter for that, you have enough meter for The Shocker. Keep an eye on his meter. Once a big chunk of it goes away do The Shocker and you'll catch S-Kill as he pops up in front of you. The Shocker is great in this matchup because S-Kill's kick is so slow. If the time is running up, you can claim the median line and hold it easily with The Shocker. If S-Kill is already on the median line, divekick right at him*. If he teleports away then he's either right above you or he's off the median line and in position to slowly divekick you. Either of his options have The Shocker as a counter. S-Kill can't parry lightning.
*I only do this if I don't have kick factor. Can S-Kill Parry The Baz in Kick Factor mode?
EDIT: S-Kill Kick Factor + Trick ruins the above strat.
I don't know what to do against her. Because of her horizontal jump, you can't safely whiff for meter. At round start, many of the Dr. Shoals I've played against would do a tiger knee'd divekick across the screen which hits The Baz when he's kick-backing or in the middle of a kick. My only success in that regard is jumping up as soon as the match begins and doing a divekick without changing the angle and then kick-back. You land before she reaches you and the lightning stream covers you as she comes in. Once that works once or twice then the opponent just stops doing that and starts using all her tools which puts The Baz at a hard disadvantage. She can use divekick xx Hover to bait out The Shocker and then punish it. Mighty Swing might random her out.
Haven't played too much against him. What I've gathered so far is the he has a very slow kick which means you can whiff for meter easily and kick-back away from him or counter with The Shocker.
At the start of a round, if he has Kick Factor then he can kill you where you stand after a maximum height jump. Kick-back or prepare The Shocker. I assume Dive can do this as well. I think this could be an other great match for The Baz. What I do against Kick is pick the Dive gem. At round start do a kick-back to test the waters and see if Kick is going to pursue you. If he doesn't then whiff for meter until you get Kick Factor. If he does pursue you then whiff until he's in a range where he could toetap you if he does a max height divekick(basically as close as comfortably possible). Dive and do a horizontal kick at the peak of your jump to get away. At that range Kick's jump is too low(without Kick Factor, I'm not sure if him having Dive gem matters here) to be able to kick you as you are holding for a horizontal kick. Rinse and repeat until Kick Factor. When you have Kick Factor, double tap and hold kick ASAP for a quick and low torpedo across the stage which is VERY difficult for Kick to avoid. This should net you two easy kills. Once Kick Factor runs out then do it all over again. As an alternative to running away with horizontal kick when he gets close to you, you can risk a Mighty Swing but I'm finding this move less and less reliable. It's good as a surprise and something else for the opponent to worry about though. Party Starter cancels out The Shocker. You're forced to jump and you lose your lightning cloak.
I think this is a bad match for The Baz. Jefailey can put up a wall against The Baz. His dropkick ruins your day at all angles. Your best chance is whiffing for Kick Factor and then going horizontal... IF he doesn't have a big enough head to jump high enough to avoid. Also, he can randomly let out a charged drop kick(tiger kneed, even) to punish you for whiffing. In this match, he actually gets BETTER as his head grows since The Baz's headshot opportunities are rarer than average. If he gets a big head then he's almost Dr. Shoals. If he gets Kick Factor as well...