She could have sent both of them to Singapore and continued her social work.
Everyone became complacent thinking that akheraj is no more and thus they are all safe. But before that they saw how akheraj kidnapped Ganga and was after Nandini. At that time anandi was more interested in not telling the truth to her kids and trying to placate Mangala. Some other in her place would have told the truth to her kids whether Nandini believes it or not and got them exported to Singapore. In this she could have taken help from BH wasis who were ready to help her.
You cannot make 13 year olds strong by just giving bhashans when death was staring. Atleast she could have asked Nandini, the wiser of the two, to go back to Jaitsar and BH somehow. They could have gone to the police station to tell about Jaitsar people and thereby establishing contact with them. Or Kamli. Afterall Jagya is an MLA and a political heavy weight.
As for love triangle, it could have been possible even if Nandini stayed with BH wasis. She could have gone to work in Dr.Amit's hospital. No need for new parents and new sister.
Anandi died because of bullet wounds. There would have been panchnama and police case. Definitely police would have asked the kids about their relatives. Pandit will not do last rites without death certificate. Apart from pandit, there would have been others.