“Reach” on guitar is generally just learning to warm up, relax, move in the correct way, and use the correct body/guitar positioning. Hurting yourself is wrong. As I recommend at every possible opportunity on this forum, massage the front and back of your forearm before doing anything requiring reach or economy of motion, and sometimes even every few minutes as you practice. You will NOT notice when your muscles accumulate tension and start functioning poorly unless you’re some kind of superhuman, which I’m not.
Another shape to explore a big reach on the e string is the D-Shape sus 2 arpeggio. For example,
index finger 7th fret g string
middle finger 8th fret b string
index finger 5th fret e string
pinky 10th fret e string.