What you have experienced must be very distressing and worrisome. And, yes, the "masses" you describe are consistent with the diagnosis of
angioedema, especially with your longtime history of
hivesHives
Hives (urticaria) - close-up
Hives (urticaria) on the arm
Hives (urticaria) on the back
Hives (urticaria) on the back and buttocks
Hives (urticaria) on the chest
Hives (urticaria) on the trunk. However, nodules, and these "masses" may or may not be nodules, are also seen in approximately 25% of people with
rheumatoidAnkylosing spondylitis
Juvenile rheumatoid arthritis
Osteoarthritis vs. rheumatoid arthritis
Rheumatoid arthritis
Rheumatoid factor
Rheumatoid lung disease arthritisAcute gouty arthritis
Arthritis
Arthritis - resources
Arthritis in hip
Cervical spondylosis
Gout - chronic
Juvenile rheumatoid arthritis
Osteoarthritis
Osteoarthritis vs. rheumatoid arthritis
Psoriatic arthritis
Reactive arthritis. These nodules may
waxWax blockage
Wax blockage in the ear and wane independently of arthritic activity. Since
aspirationAspiration
Bone marrow aspiration
Joint aspiration
Lung needle biopsy
Meconium aspiration syndrome
Skin lesion aspiration
Synovial fluid analysis
Thoracentesis has not provided an answer, it may be necessary to
biopsyAdrenal gland biopsy
Biopsy - biliary tract
Biopsy - polyps
Biopsy catheter
Bladder biopsy
Bone biopsy
Bone lesion biopsy
Bone marrow biopsy
Breast biopsy
Breast lump removal
Bronchoscopy with transbronchial biopsy one of the nodules.
It appears that you have been evaluated by a number of capable, sub-specialist. But, given the difficulty they have experienced in trying to establish a diagnosis of your "masses" you might want to consider seeking consultation with a university hospital affiliated rheumatologist, one engaged in both research and clinical care, a specialist such as those with the Division of Rheumatology at the University of Colorado Medical Center or its affiliate, National Jewish Health, both in Denver, Colorado.
Good luck.