Bladesinger problem

As almost everyone I was theorizing about our upcoming subclasses and I can't really crack the Wizard Bladesinger. No matter how I look at it I come up with what we already have in game... but worse.

The Bladesong feature is really nice, but Larian changed it to scale with Proficiency Bonus instead if intelligence, so any class with a 2 level dip get almost full benefits of it, even if they dump Int. Also high level Wizard will get only up to +4 AC/Con Saves instead of potentially +6 with 22 Int.

Level 10 feature doesn't sound too good, offering much less efficient defense than Abjuration School, and worse way of burning your spell slots than Smites/CC/Counterspells.

Another problem with gishes is using your spell slots, while still attacking. Obvious answer is multiclass with Paladin. So let's compare Bladesinger with other popular Paladin multis.

Sorcadin (7/5 or 6/6) has almost everything Bladesinger multi gets outside from maybe lower level spell slots as Sorcs don't get Extra Attack on their own. Booming Blade is on both Wizard's and Sorcerer's spell lists. Combining two Charisma based classes is easier than mixing Charisma with Intelligence. Also late game Sorcadin can use upcasted Arcane Acuity empowered Command as bonus action.

Bardadin (10/2) remarkably doesn't get Booming Blade, but still has access to level 6 spell slots and Command. And if we really wanna optimize we can play the build as Astarion or custom High Elf to get Booming Blade cantrip.

I don't even care about it being underpowered, but is there any build that is unique for Bladesinger and isn't just worse than what we already have in game? My only idea is mixing it with Sorcerer so we can use action to attack and bonus action to cast quickened spells.

Any other ideas for builds?