If they title an episode "No Problem With Apu" and make it the most racist, jeetophobic thing on television I can forgive these past couple of decades
I'd call the episode "Apu Redeemed" and here's my pitch:
Kent Brockman's special news report informs about a wave of constant Indian scam phone calls targeting the citizens of Springfield. Homer laughs at stupidity of the victims, only to fall for such a call himself a minute later, losing all family savings in process.
Since the Springfield PD is useless, Marge grabs the evidence and goes to Kwik-E-Mart to ask Apu for help. Poor Apu is tired and stressed out of everyone blaming him for it or expecting him to know the scammers. He starts to lecture Marge about how India is a huge country full of more than a billion of all kinds of people, only to stop in the middle once he notices that, by a huge coincidence, the scammer who robbed the Simpsons is his old classmate Prakash from Calcutta. He offers to help them and they all travel to India together.
Then it's basically just Codex Pajeet for 10 whole minutes. Or make it one long Threehouse Horror episode. Not just the Simpson family, but Apu himself is absolutely horrified at the condition of the whole country and its people. Garbage, scammers, and perverts everywhere.
They track Prakash down into a huge call centre sweatshop, but he refuses to return anything, claiming he's a serious IT professional (with a cubicle wall full of misspelled certificates) and doesn't budge at all.
Simpsons feel defeated and are about to head home, only for Apu to get a clever idea to scam Prakesh with a scam of his own. He manages to haggle with Prakash and trades the Simpsons' savings for a huge collection of racy photos of American babes. Those are revealed to be a just a catalogue of bob wigs, but when Prakash realizes his mistake, the Simpsons are long gone.
Outside, they're chased by a zombie-like horde of jeets that turn everything to shit upon touching it. Some fun action happens, and the Simpsons and Apu safely board the plane and fly away with a sigh of relief, commenting that they must be very dilligent to only let the select few like Apu to emmigrate away from there (Apu agrees).
Upon return, Aou falls on all fours, kisses the ground and with a tear in his eye says, "God bless America!"
The B-plot would be Lisa catching explosive diarrhea after enthusiastically ordering authentic Indian food from a street vendor. The rest of the family is fine because - to Lisa's anger - they refused to even try the local cuisine and simply ate Krusty burgers Homer smuggled in in his suitcase. Lisa spends the whole episode locked in the hotel bathroom shitting her insides out, which is why she's unavailable to bitch about muh racism while the main plot happens.
They can forget her there on their way home for all I care.
This is off the top of my head. I believe it could work with a bit of polish.