How about instead of Hawkmoth forcing Ladybug to take a “risk,” Ladybug gets fed up with his nonsense and takes a risk of her own by coming up with a plan to lure Hawkmoth out - faking another villain/faction that wants to use the miraculouses to make a wish. They would be affiliated with the Order, so they know everything, even more than Hawkmoth does.
Hawkmoth either:
A. Is forced to team up with the heroes, giving them an opportunity to fake an alliance while secretly the heroes plan to get the edge on Hawkmoth
or
B. Hawkmoth tries to convince this fake villain to team up with him (results may vary)
You can have characters like Zoe, Felix, Luka, Alya, and so forth be involved with this plan.
Honestly, I was kind of hoping something like this would happen as a result of his akuma’s effect. It’s supposed to make her “reckless”, and wouldn’t her sense of caution be what’s holding her back from just…using all of the Miraculous to try to track Hawk Moth down?
Ladybug gets the Black Cat Miraculous and dual wields it with the Snake Miraculous to just Cataclysm every building in Paris one at a time until she finds one that has a secret villain lair inside.
Ladybug uses the Rabbit Miraculous to see into the future/past and find out who Hawk Moth is, then beats him up that way.
Ladybug uses the Dragon Miraculous to become the wind so she can just go everywhere across Paris until she finds him.
Ladybug uses the Fox Miraculous to create a “villain” that freaks Paris out and forces Hawk Moth to respond so she can attack him.
Ladybug using the Horse and announcing to Paris that she is tossing the Ladybug Miraculous into the sun. Just try to stop her, Hawky!
Ladybug just beating up Hawk Moth. Full stop.
And a humor take where Chat and Hawk Moth are forced to team up because a Ladybug with no sense of caution and no inhibitions is freaking terrifying, so the enemies have to become reluctant allies to stop her from accidentally destroying Paris. Or taking over the world.