Two traps in series is never allowed, and would create poor drainage. Draining it in front of the trap is potentially a possibility, but really messy, so likely not a great idea. You might solve all of this if you used a linear drain rather than a traditional one, as that would allow you to place the drain in nearly the same position as it is now. The floor becomes easier, too, since it only needs one slope, and is truly flat, rather than a bowl. A long trap arm means a long pipe that can accumulate soap scum, dead skin, hair, etc., and start to smell. Yes, some of it will wash away, but not all, and the trap right beneath the drain minimizes that dirty pipe smell/mess, and stuff 'falls' easier than it is pushed.