You can try posting on social media groups that target rescues (Best Friends, Rescues Across America, HASS). Unfortunately, there are way more source groups wanting to move dogs as opposed to receiving rescues open to new intake. You might search for Breed specific rescues, though many won't take mixes). Dog adoptions are down - even in states that previously imported dogs regularly.
Other than social media posts, your best opportunity is to reach out to your network for individuals that know someone in animal welfare in other states. Ask for help with connections. I haven't found that 'cold calling/emailing' works very well.
------------------------------
June Thomas
President
Central Arkansas Rescue Transport
AR
------------------------------