When I looked into it, it sounded like standing is not preferred because there are a number of things that are easier to do in a fully anesthetized, recumbant horse, like freeing the bone fragment(s) from the interosseous ligament, inspecting for small fragments, and reshaping the fractured end of the remaining bone. It’s not as easy as making an incision and plucking out a loose bone like a game of Operation, so general is still the standard protocol.
I was given the impression that standing is only an option (at least for my vets) if the break is fairly uncomplicated and if the horse is one that the surgeon expects will quietly tolerate manipulation of the leg and unusual sensations under sedation. Mine was a borderline candidate for the latter reason; your guy’s candidacy for standing surgery may rest on the former if they need to take a more exploratory approach to figure out what is preventing healing.
Given that you’re 11 weeks in without any healing of the fracture or the more superficial tissues, I’d probably be leaning toward surgery in your shoes, regardless of antibiotic response. Unless the vet is confident that the distal splint segment is rock solid immobile (i.e. won’t ever irritate nearby structures) and that the slow wound healing is a simple matter of infection, not foreign body, another round of antibiotics might just be kicking the can down the road. But personal feelings about avoiding invasive procedures vs. spending more time in troubleshooting mode, and of course money all come into play in evaluating whether antibiotics or surgery is a better next step.
I hope you get answers quickly about which options (e.g. standing) are on the table and figure out the best way forward for your guy!