So sorry you and Beade are going through this, it sounds very traumatic for you both. I don't have any experience with either feline asthma or seizures. My cat does have a heart condition (mild HCM - diagnosed via an echocardiogram), but it's been well managed for many years with Atenolol.
How is Beade's appetite and weight? Do you know what all was tested when she had blood work done?
Is it possible to get a referral from your vet to go to a specialist?
"To close your eyes will not ease another's pain." ~ Chinese Proverb
“We must not refuse to see with our eyes what they must endure with their bodies.” ~ Gretchen Wyler