Hi kenstrong110,
thanks a lot for your reply, awesome to hear that I am not alone 
Actually I am not too familiar with coding such models “directly” in Matlab, how exactly would you proceed there and did this work out for you? Did you try to use Dynare for this model before? Have you coded the baseline case only or replicated the bank run simulations as well?
I would highly appreciate further feedback on these issues, maybe you also have an idea what could be behind the errors I get with the Dynare file?
Thanks a lot in advance!