As I remember the old planetary overdrive units, they could not be upshifted under power. You had to let off the throttle to let them upshift. To modify one to upshift under power, you'd wind up with a mini-automatic-transmission- with all the attendant systems- hydraulics, clutch pack, valve body, etc.
Dragrace motorcycles employ a unique gearbox design which allows upshifting without power interruption. I don't remember the details of the mechanism- read about it a few years ago, and remember thinking it was quite clever. You could look into building a two-speed manual transmission with this shifting design, for your "small" car.
Higher power drag race cars (such as Pro-Stock, over 1,000 HP) have used "clutchless" dog-ring-shifting manual transmissions, like the four-speed Jerico.
A single two-speed Lenco unit is not very heavy, considering the torque capacity (1,000 ft.lb.?). It's maybe 7" diameter by about 8" long.