Will money in bank affect eligibility? (Texas)

Long story short, we had to sell our house last year because we could no longer afford payments. We moved with family and are bringing in about $1200 less than we were (husband’s new job in new city). We Want to apply for SNAP but we have about $13k from our house sale in the bank. Would they check the bank balance to determine eligibility? I just don’t know if they’ll say that technically we have $$$ for food with what we have in the bank. We want to get a new place to live but are finding it hard with the current housing market and the significantly less income we’re bringing in, so we were hoping to qualify for SNAP to help up get ahead for a bit.