Shortness of breath is caused by heart disease, lung disease (including vascular disease) and disorders of ventilatory drive such as the hyperventilation syndrome, with or without anxiety/panic disorder. The study results you describe, assuming they were technically satisfactory and truly normal/negative provide no explanation for your shortness of breath. What is missing is mention of pulmonary function tests which, if abnormal, would, given the normal CT Scans likely reflect obstructive disease such as asthma, rather than restrictive disorders. Complete PFT’s should be performed along with rest and exercise ABG’s.
Four possibilities come to mind: 1) obstructive lung diseases such as asthma and bronchiolitis, 2) primary pulmonary hypertension and, 3) right to left intracardiac shunting with resultant hypoxemia to account for the shortness of breath and what is called paradoxical embolization causing transient ischemic attacks (TIA’s) to account for the leg and arm weakness and tingling and, 4) constrictive pericarditis, an easily and often missed diagnosis. It would be prudent to review all previous studies, with these diagnoses in mind. The history of pulmonary emboli is worrisome, and raises the question of current PE, despite the negative studies
What you might want to discuss with your doctors is this: Which of your negative/normal studies might have been invalid, for example for technical reasons, and given the timing of the studies, which may have been truly, initially normal but might now show evidence of heart or lung disease. That is, which studies might warrant being repeated, for any reason, at this time. The suggestion of a non-specific viral infection does not explain anything, in the presence of seemingly normal heart and lung function. And it is not clear what is being treated with the systemic steroids These are some of the things you might want to discuss with your doctors. Finally, you might want to request a second (pulmonary or cardiology) opinion.
Good luck