hi
As you have mentioned that its SA muscle pull but not confirmed by doctor u must b having neuropraxia as is neural tissue pull and yeah it may show tingling sensation toward ur limb. an moreover i would like to know whats your occupation? why u are feeling that is SA muscle pull mean what made u think that? i would rather advise keep your shoulder blade in retracted position by crepe and once u visit physiotherapist he should go for strighthned your shoulder blade muscle by doing retraction and shruging activity later followed by resistant training...and also would like to know once you go to physiotherapist let him diagnose then u may put this thought to him, As i haven't verified properly,
an regarding your disc bulge he is right as far its not showing impingement it fine and thoracic outlet syndrom just check for your radial pulse if its feble u have to see to TOS