Originally Posted by: jggonzalez230And, most importantly, recognize which interval is where in each shape.[/quote]

Exactly.

Originally Posted by: jggonzalez230My question is, would it be more beneficial to sing the note names or the intervals or use solfege.

All of those are beneficial. Especially if you've not yet completely memorized the note names on the fretboard. And the solfege can help if you are a singer or intend to sing. But in my estimation the scale interval is the most important.

[quote=jggonzalez230]Has anyone done something similar and can talk me through your thought process?

I learned the note names well before I grasped the intervals. So I already had those automated. The scale intervals are the most practical.

The solfege is fine too, especially if you are already used to it. But keep in mind that the solfege just adds another layer of data in between the sound & location of the note & it's scale interval.

Hope that helps!