The Dream Act is not a law. You are probably referring to Deferred Action for Childhood Arrivals (DACA). You could do either or both options. I suggest you consult with an immigration lawyer near you.
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You mean DACA (there is no such thing as the "DREAM" Act, was never passed.)
I would do BOTH. First DACA, which will enable you to officially "come out of the closet" so to speak, and obtain an employment authorization card, a state issued ID, DL and SSA card.
Then, for your husband's green card petition on your behalf, it's not that simple. I strongly recommend sitting down with an experienced immigration lawyer. The first part of the petition will have to be filed in the US, with a Stateside Waiver of your inadmissibility based on "extreme hardship" to your husband, as well as the immigrant visa petition in Cd. Juarez are best discussed with and explained by a professional .
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From the information available it looks like you could de either. Deferred action (the closest thing we have to the dream act) only gives you two years legal status and then you have to renew it after that. A petition through your husband for a green card (if you qualify) is permanent. The petition through your husband will cost more though.
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