There us an excellent "walk in" welding service in New Addigton (Surrey) which is run as Angel Welding, the boss is Ian Angel who is the son of Alec Angel who was in Bensham lane Croydon (very close to the old Motodd premises of our very own Toddy) for decades and was known to the like of Suzuki GB and Barry Sheene etc as an "ace" I include all this detail because you posted that you are in the South east, New Addington is close to Croydon. I am close to Sevenoaks and would be happy to assist you.
Alec now does the odd week or days at his sons works where around five welders are employed, You can walk in with your aluminium repairs and get it done while you are there, not usually more than 15 minutes wait, depending, Alec is not the only alloy welder, there are others who are all very good.
What you must do is prepare before you go ,if you arrive unprepared then you will not get fast service, and you will get charged for the prep, so you will have to unlace the wheel, and cut a "Vee" where the cracks are, realign everything straight, polish the local area and take it in, you will then get your welded piece back and you will have some "cleaning up" to do, this may be possible by hand with hand tools/ grinders/ power files and drills for the holes which will very likely get filled etc, but more likely you will have to get it turned, and for that you need a lathe, so not easy unless you have your own or know of one locally. Seems like a lot of hassle, but these wheels are hard to come by now and cost plenty when they do, if you decide to scrap it, give me first dibs on it.A new/unused one was seen on Ebay last week for ?1000.
CLEM
PS I ran a Chott like that for decades with a lump barely hanging onto the end of two spokes and it was magnesium. (not to be taken as advice!)