Well I do agree with you about the fact that your symptoms are not JUST related to Wikipedia reference-linkTennis elbow.

But you could have both trapped nerve and tennis elbow.

The episode you said about not being able to workout indicates that as the cause of your tennis elbow (definitely u must have worked out both your forearms).

Your numbness and tingling can be attributed to trapped nerve (actually its not trapped as such so dont worry about relieving it)
Trapped nerve or nerve root pain is generally due to irritation of the nerve by a bulging intervertebral disc. This is not something u need to worry unless it causes weakness of grip or loss of sensations, which indicate a progressive nerve damage and need immediate treatment.

So as of now go ahead with something for your tennis elbow, like physiotherapy, and not just Wikipedia reference-linkanti-inflammatory medications.