My income is 6,048.00 from SS.My wife has one w2 of 370.00 with zero paid out to federal? After a couple attempts our refund shows $29 EIC. Any advice on how to get more?

Should we file joint or separate? I can't claim her as my dependent bc we are married nor can I claim Head of Household. I take care of her financially, physically and she has many mental health issues. Advice please??