After checking multiple websites, and even scrolling through Bulbapedia's massive database for Sugimori art, I see nothing relating to his art for HG/SS. Curiously enough, if we look at artwork for G/S/C, Red's isn't there either. This may be possibly due to Red not being part of the main storyline of the game at the time, while the games he does have artwork for - R/B/Y and FR/LG, he is the main protagonist. This theory is further supported due to the lack of artwork for Generation 5, where he participated in the PWT.
Source [Red's FR/LG artwork is the page's main picture]