Most tub faucets get narrow towards the end and of course get a little larger as it goes back towards the pipe connection. Pushup it up a little more and then lightly turning on the water and having it push it back down to the end of the spout might actually help you get it out. The reason being that a turtle is a funny shape and it went in a certain way, so it needs to come out in that same way. When it went in, it flipped around and won't come back out the same way because it isn't facing the same way that it was when it went in. It may also be just barely small enough to have gone into the faucet, so it will require something to grab it and pull it with force. Sure, you could take the faucet spout off. It should just unscrew, but if it looks like an older pipe that it is connected to, I'd be iffy about doing that. If it breaks, you're in for a larger project than you bargained for.
I'm iffy about using a coat hanger or anything with a sharp point. A lot of tub faucets that are older can get gunk in them that basically slowly rots the spout from the inside out. You might scrape a hole in it if it is an old one. It can look shiny and new outside, but cruddy and coming apart inside. After all, it comes in contact with water that is under pressure on a daily basis.