just an idea but couldnt you lube the syringe so it will slide a little way down the snakes throat? dont know what you would lubricate it with though.
the snake is gonna fight you all the way with this one i think
never had to force feed medication before, except on my kids and that was bad enough lol.
hope you can figure it out, let us know what you come up with, i'd be really interested to know.