Hello,
Thank you for asking your query at DoctorSpring.
The above mentioned testicular pain is unlikely to be because of the disc bulge. To be honest your testicular symptoms is big non specific. When I say non specific I mean that the symptoms itself do not point towards a single diagnosis. A hernia should be ruled out. In all probability the pain could be secondary to varicocele and does not need any intervention. You don't appear to have epididymitis as you don't have any other symptoms.
In my opinion you should not be embarrassed about a testicular examination. We say 100s of testes every week and we couldn't care less ! A timely examination will prevent a lot future embarrassment. I recommend a Physical examination and if needed an ultrasound.
Hope this helps
Please feel free to ask followup questions.
Thank you