In view of the history of flushing and vascular liver metastases, this is highly suspicious for a small bowel carcinoid.   

Note the arterial enhancement of the liver lesions on the chest acquisition.  Carcinoid metastases are typically best observed on arterial phase imaging due to their vascular nature.

The patient's laboratory tests revealed a massively elevated chromogranin A of 530.6 nmol/l (normal < 6).

She proceeded to care in a tertiary center for metastatic carcinoid.