All of the specials I have had narrow tips, and the advert copy from the time shows that Brilhart considered them to be designed and built for students.
Yup...Phil (Phil-Tone) enlightened me on that years ago. Despite the moniker, the Specials were student mouthpieces, not elevated models.
Phil opened up one for me - no #'s or letters - to .088 (a Tenor mouthpiece) and it played really nicely.
The thing here is, he did that for me as a labor-trade, I provided some tweaks for him on some saxes.....so no $ exchanged hands.
The question becomes... is it worth having a refacer reface and open up a run-of-mill Special ? Because that is gonna run probably at least $80 ?
It might be...or might not be.
Do you like the Ebolin-sorta tonality ?
If all you (OP) wanna know is the tip opening (it WILL likely be quite closed) you could just have a tech measure it up (many techs, while not mouthpiece people, do have the gauges to measure a tip opening).