This sounds like a minefield to me, Yes, by all means try to talk this through with your husband and see if you can get him to see your point of view. However, if he really does not like your daughter and makes mean remarks to her the atmosphere will not be pleasant and might actually harm your grandchild.
Can you afford, out of your own earnings or pension to pay some of your daughter's living expenses, if she continues to live somewhere else? Is so, either do so without telling your husband, or do so on some legal basis, where it is quite clear that the help you are giving her now is to be deducted from whatever she will inherit after you.
If she continues to live somewhere else, can you either persuade or simply tell your husband that your grandson will be with you for a stipulated number of hours a week with you, so that his mother can go to classes and do her studying for the course?