The answer to your issue here is very, very simple. And that is that this:
Or Babs could just not put on a costume at all.
Is an absurdly optimistic pipe dream that bears no resemblance whatsoever to the reality of superhero comics writing.
A Babs with mobility is a Babs in costume. Period. That is how this genre works. These are creators who know fight scenes, creators who glorify the physical and visceral hand-to-hand combat of dueling spandex warriors, creators who do not know how to portray an effective and accurate REMF and carry a subtle bias against anyone who willingly fails to physically put themselves on the line too. Y'know how on Static Shock, Richie started out as the tech guy and then by halfway in, he was a gadget hero on the front line? How Daniel Jackson started out SG-1 as an ineffectual archaeologist and is a badass gun-slinging warrior two seasons in? How Lois learned kung fu in the Bronze Age, and how Catwoman, as soon as she had her own series, started an immediate and eventually dramatic slide from expert cat burglar whose number one trademark was *not being seen* into a brawler who spends half her time beating other people up?
If you really think that Babs would stay the absurdly powerful cornerstone of the DCU that she is as Oracle and not devolve into another completely pointless and utterly generic kung fu bruiser in spandex who never gets so much as a sideways mention outside of her own ghettoized Batbook for so much as a month after getting her legs back, you're dreaming.