No, marriage by proxy is not recognized by the US immigration laws.
If you have a problem with finances, you are going to have to also find a joint sponsor who is willing to sign an affidavit of support for your husband when he applies for his immigrant visa if he got here as your fiance.
The joint sponsor would be liable to the US government for any means tested benefits that your husband may collect for 10 years after becoming a permanent resident. The federal government would have the right to sue them for the reimbursement if the could not collect it any other way.
You need to plan this out all the way because your SSI is not counted as earned income for purposes of the I-864. There has to be a long term plan because if he comes here and then you cannot help him get his legal residency, then he would be in a bad situation.
Judith
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Immigration Lawyer
30 years exp as attorney advising top corporations and individuals on nonimmigrant & immigrant visas