i don't know you or your situation, but i can try to offer some encouragement...
when my husband was in school and i stayed home with our firstborn, we would go to bed early if there was any chance of rain. that way i could wake up super early to take my husband to school. i didn't get our baby ready for the day until later, so most of the time he would fall back to sleep in the car and we'd drive around until the rain stopped or he woke up hungry, whichever came first. it's not the same situation you describe, but the point is that it was tough to get up that early with a baby, but sometimes you just do what ya have to do, know what i mean?
most days, however, my husband would walk. he would see moms walking to school with their little ones in strollers too, as there was an on-site daycare on the campus. rainy days we would see some even walking in rain coats & umbrellas.
so maybe you can keep your job & go to bed early & wake up early?...maybe you can find a job with on-site daycare?...maybe you can find a job that's closer to home /or your daughter's daycare?...maybe you can find a job in a company that has a van pool and on-site childcare? (they're out there, i used to work for one!)
whatever you do though, you are a loving, hardworking mama -- you'll find a way! don't give up!
and i looked up a number you might try as well...charity motors in dallas: ###-###-####.
HTH!