I know that Lovebird chirp all to well but I see no problem in having him in the same room.
They cant hear at all and I cant imagine the high pitched lovebird chirp making much vibration in the entire room.
Try it out and if you see any problems with his behavior then move him to a different room. I doubt it would effect him much at all.
The problem I can see is actually for your birds safety. Some bacteria from either the snake or its feces could be passed to your fragile birds. Just take care to make the snakes area as clean as possible and ALWAYS wash your hands if handling the snake or his accessories.