If you were to file for a divorce, you would be able to request that the court order your husband to pay obligations and to provide you with temporary spousal support and child support during the proceeding; the support provisions could become permanent at the end of the case. Absent filing for divorce there is nothing you can do to force him to provide you with more funds. This answer should not be taken to suggest that I encourage people to end their marriages, but rather that this is the only legal way to accomplish your goals.
There's no way to tap into his accounts secretly without running afoul of some state or federal law. However, if your interest arises from a divorce or custody case, you would seem to be able to file a motion, issue a subpoena, or compel disclosures in some other way -- especially if a significant period of time has elapsed since your last court order. I would recommend hiring a local family lawyer for this purpose.
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-- Mark S. Guralnick
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