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I think a build like Muscle Wizard is for if you want to experiment or roleplay rather than optimize so it could be viable that way.
Put your stats in INT. Boost STR with elixers.
Dunno why this over POTB/sorc. would be 5/7 split. But its not what you said either -- it works exactly the same (like having a 20 in both str & int, except its all in cha) but its not the same.
You can have 2 stats at 16 when you start out, and the third at 14. So str/int/con is fine, everything else will be low. Str can be boosted later with items & potions very easily, so favor int for any increasing you do. If you take a level of monk, set you str to 15 or 17, you can take the tavern brawler feat and cast melee spells like shocking grasp, punch them twice for fair damage, and then step away to nuke next turn, or whatever. A level 1 monk gets 1 offhand attack if you attack with melee, giving 2 attacks per round, and it gets a couple of double punches per short rest that you can use after a spell. If you are out of double punches, and cast a spell, you can't also melee attack anymore unless dual wielding (in which case monk is nonsense !! )
a dual wield setup that would be fairly effective would be fighter 1, rogue 3, wizard 8. This trades more wiz levels to get a solid 2 offhand attacks per round, with the feat & style, these can be big axes doing full str damage bonus.