When I play this piece, my fingering is exactly as you laid out. Your alternative fingering from my perspective is actually more cumbersome unless you have large hands. There are times when the left hand needs to carry notes in the treble clef and vise versa, but I don't think this is one of those times.
I would continue using the fingering you have laid out but at the end of mea. 48, make a slight break or "lift" going into beat one of mea. 49 and again after beat two of mea. 49 going into beat three. This will accomplish two things: first, it allows room for your hand position to shift and fingers to get into there new position. Second, it creates an articulation that emphasizes beats one and three and helps give the passage some extra rhythmic vitality.
Fingering is essential to good performance. Some things are easy to finger and others can be a bear. There are certain "rules" that govern good fingering but in the end you need to find those fingerings that come most natural and efficient to you and stick to it with plenty if slow practice until your muscles take over automatically.
Hope this helps,
Greg