Is there alternative to orbital decompression surgery in my case without general anesthesia? (photos)

Infraorbital rim implant can help partially and that can be done under IV sedation. It is important to have personal evaluation to determine realistic expectations and risks.

If your concern is purely cosmetic, I would recommend lifting the upper lids. As far as making the eyes less prominent, you would require some lower lid filler injection to build the midface to help mask the proptosis.