Are there safe alternative therapies for pulmonary eosinophilia?

None proven: There have been no controlled studies that demonstrate the effectiveness of non-pharmaceutical therapies for this, to my knowledge. Pulmonary eosinophilia is a diagnosis that indicates significant inflammation in the lungs; you need to get this treated by a physician in order to avoid long-term complications of this persistent inflammation.

No: No alternative therapies have been shown to be efficacious in pulmonary eosinophilia. In fact, i'm not sure of any actual trials of any alternative medications for this condition. Pulmonary eosinophilia is a finding, not a disease (it can be found with several diseases).