Joseph, there is a whole website that informs single mothers of possible benefits. called singlemomhelp.
Mammele, riding in a chartered bus on Shabbat is at most uvda d’chol if the driver and most of the passengers are gentile (Rav Moshe prohibits it but there was a “Jew’s ticket in Mumbai during British rule). Stealing is a Torah prohibition and Yom Kippur does not help until it is forgiven. Moreover, as you noted, the former is not a chillul Hashem whereas the latter is.
Health, you brought up the issue so I suggested a solution. If you agree with me yasher koach.