You could go straight monk, take 4 elements to represent casting, or feat in a magic initiate in a casting class for some cantrips and a spell. Theres plenty of gear with spell effect in it too you can flavor as sorcerous.
monks are already Multiple Ability Dependent, you need Dex and Wisdom for your unarmored defense, weapon attacks, spell Dc on stuns, etc... You also want decent Con of course, so then to mix in a need for heavy Charisma is going to be difficult. I recommend focusing on one of the Wisdom casters if you really want some spell caster levels, the right cleric domain might work.