You set up a payment plan with the hospital ... Even if it's only for $5.00 a month ... And stick to it NO MATTER WHAT - NOT MISSING ONE PAYMENT! ... As long as you are making an earnest effort to pay the bill, they won't harass you.
ps. Many hospitals have forms you can fill out and submit for review, and if that proves a certain level of indigency, they'll completely waive the balance due, so it might benefit you to check into that as well.