Is it permissible to eat from the wealth of one who works in a usurious bank and to visit them, and does this wealth transfer to their children through inheritance?

If the fiancée is committed and dislikes her father's usurious earnings and her mother's mixed-gender work environment, and she wishes to marry to escape these transgressions, then rely on Allah and complete your marriage to her. Seek reward for helping her adhere to her religion, while continuously advising her family with piety and reminding them of the Hereafter.

You must protect yourself and your wife from transgressions. Do not accept a gift from your wife’s father, nor eat from his food if all his earnings are from a usurious bank.

If you do not see yourself capable of doing the above, then safety is preferable. The Prophet, peace and blessings be upon him, encouraged marrying a religious woman. It is narrated in the Hadith (definition): "Choose carefully for your offspring, and marry those who are compatible, and marry your daughters to them." Some scholars disliked marrying the daughter of a transgressor, because the morals of fathers and mothers can affect their children, as Al-Munawi said. This is supported by the Prophet's, peace and blessings be upon him, refusal to allow Ali to marry the daughter of Abu Jahl in addition to his own daughter, due to her carrying the shame of her father.