Meh. Guess it's my turn to start becoming disillusioned with Sage Advice rulings. What with the Twinned Dragon's Breath tomfoolery
This made me realize that you can twin-spell booming blade, and it stands to reason that you can also quicken it and also twin-spell that if need be. Combine this with the Mobile feat, and you have a pretty good pseudo-disengage action that puts the hurt on anyone trying to run after you.
Then I got thinking about how you might build a melee-focused sorcerer. Probably go dragon-blooded for the AC boost (basically mage armor, but you don't have to know it, cast it, or worry about it being dispelled) and extra HP. It sucks that there aren't any thunder damage dragons to boost booming blade's damage at 6th level, but I suppose it's not too bad to pick fire to use with green-flame blade.
Another option might be to start as a fighter to pick up armor proficiency and and a fighting style, then action surge at level 2, then possibly stick in it for another level for something like battle master maneuvers (though that might be too much investment in fighter levels). Alternatively or in addition to this, you can take Shadow Magic and be able to pull off the warlock's Devil's Sight trick.
As you go up in levels, there are a few spells you might have wanted that are only available to wizards for some reason (like steel wind strike or tenser's transformation or foresight), but you can still have fun with haste and shadow blade and various protective and teleportation spells. Overall, probably not the most optimized build, but it might be fun.