After tinkering with this off and on for 2 months, I think I've got it how I want it.
+4 non-sequential gears
+Achieves the high end and low end of the gear set
+Has a lever for precise gear alignment.
+Able to fit the bulky 2-speed motor
With this post I'm also issuing a challenge. I was not able to achieve the low-geared(big red gear to small tan gear) side of the 3D printed gears' mesh. This means this gear set has a possibility of more than 4 gears, however spacing is an issue. Please repost any modifications or uses for this design and if you are able to add gears.