The shell itself is not a good tool for this, you need an audio conversion tool which understands the format in question. Which platform are you on, and what tools are you using to convert audio? Possibly all you need is the correct codecs.
To my limited understanding, though, most audio tools will use whatever back-end codec you have, so switching from lame to another tool might not help at all. The issue then would be to figure out how to disable or bypass the codec which writes ADTS, or pass an option to it to not use ADTS.