As I continue this insanity, some thoughts for those that may choose to go down a similar path.
1: Don't do this.
2: No, really, don't subject yourself to this kind of madness.
3: If you're still dead set on it, if you're going to use an attack that can crit, go scrapper. If you're going to do it with brawl, go brute, since brawl does NOT crit. (C'mon, devs, it's a one line of code fix....Edit: Ok, more than one line since it needs to be fixed for other ATs like Corruptors as well.)
4: Choose Energy Aura for Entropic Shield and its +recharge. See 5.
5: Get as much +recharge into the build as possible. You may not think that .05 less recharge on your one attack will matter but you are wrong to think it. Over the time it's going to take you to get to 50, the extra damage over time will become huge.
I'll probably finish this up tomorrow as I'm currently at 48.6 and then I am going to respec her, but I'm going to leave her as a swipe only character. Cuz why not? If I want a proper claws/inv scrapper, I can always PL another one.