congrats! there are medicaid options if your GA/TA isn't paying you $2,392 each month, in which case your wife's pregnancy will be covered as they will qualify you under a low-income bracket.

call some doctors' offices and explain your predicament. i would find a doctor who works in a government hospital and  call his/her office as they are very familiar with situations like yours and would do the paper work in a breeze.

best wishes.