You see music as visual. This is a good thing assuming you dont have perfect pitch, where you see and identify notes as you would with colors. Try listening to some 20th century a-tonal type music, or even movie scores. Those evoke real visual feelings. You can study those and emulate them in your playing. Otherwise, I consider the ability to see an actual distraction from playing music. Look at Stevie Wonder. His eyes are closed all the time, and he feels the beat, the timing and the emotion. He can't get distracted by his eyes.
As far as evoking those feelings in solos, i urge you to sing your solo. Play as if you would sing. The greatest solo-players of any time have conceived them vocally (ex. miles davis, chet baker, oscar peterson actually sings his crazy solos--->https://www.youtube.com/watch?v=NTJhHn-TuDY
) and that's where the feeling comes from, as if the instrument is speaking to you. hope that helps!