It won't do very well because it can't. GM's deal with LG Chem for its batteries won't support a sales rate in excess of 30K bolts per year.
You keep stating that the range per dollar is unknown. I'll grant you that exact values aren't known, but there are enough quantities known to conclusively say the Model 3 will deliver greater miles of range per dollar. Tesla has publicly stated, the $35k base model, will achieve at least 215mi of range, and maybe more. GM has stated the $37,500 Bolt will achieve at least 200mi. More money, lower minimum. Tesla wins.
If you want to look at it another way, the bolt has a published Cd of 0.32. Model 3 is 0.21. Bolt has a published battery size of 60kWh. Tesla has said that Model 3 will be offered in a variant with less than 60 -- the expectation is 55kWh.
Aerodynamic & rolling resistance, power & MPG calculator - EcoModder.com
A Bolt, assuming 25.8sqft frontal area, 0.32 Cd and .008 Crr will need almost 18.5kW to break through the air at 70mph. 60kWh / 18.5 = 3.25 hours of run time @ 70mph = 227mi of range, assuming you maintain steady state 70mph with no acceleration losses and traffic and never slow down at all. This is the best case scenario the physics allows for.