The solution you are proposing isn't ideal but should work.
However, depending on the bottom bracket unit, the non drive side "lockring" might have a shoulder on it, preventing it from contacting the bottom bracket main part fully and therefore not supporting it as well as intended. Many types don't have a shoulder and this is a non-issue in that case, it will just disappear into the frame a bit (the threading generally allows this).
Otherwise you should be golden.