What about just accepting the job, faking a medical problem that requires extended time away from work not to keep the paycheck, but just to officially remain on staff for the purposes of future background checks, and meanwhile apply to other companies. You could just take an unpaid extended medical leave for cancer treatment and bribe an MD to make a phony "sick note" similar to playing hookey back in grade school.
You wouldn't be defrauding anybody if you're not getting paid. You could take a sabbatical for 6-9 months and tell better companies you were working for Amazon that whole time.