Well---hold on. If you and your spouse live together you cannot file as Head of Household. You can only file as HOH if you have lived apart for at least the last six months of 2024 and you have the children. You cannot file as HOH just to get EIC. And....you are not eligible for EIC if you file separate returns. What do you mean when you say "my husband does not qualify?" Please explain.
If you live together and there is some problem like your spouse owes back taxes or child support, you could file a joint return and include an injured spouse form to protect your part of the refund.
Tell us the real story here so we can be helpful.