What about doing something simpler to tap into the tenacity aspect of "No Lantern Escapes..." and lifting this power off Rocket Raccoon?
Quote:
TENACITY
Rocket Raccoon rolls one additional die against figures leaving an engagement with him and figures roll one additional die against Rocket Raccoon when he leaves an engagement.
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I've always dug that one, and kinda wanted to reuse it. It makes sense to me as a low-key anti-Lantern effect, since they fear auto-wounds so much. Works if they're fighting alongside the GLC against Sinestro, or against the GLC.
Not sure if that + Green Power Shield totally sells them either, you'd probably need a different marker burn effect. Or honestly, maybe abandon the batteries.
(I'm by no means an expert on the Alphas, by the by... I know just enough to make suggestions and get myself into trouble.)