Oh, wait a minute. For that service check that is going to fail, you could set in services.cfg:
normal_check_interval 5 ## that is 5 x 60sec or 5 minutes.
5days x 24hrs/day = 120 hours
120 hours x 60min/hour = 7200 hours
7200 hours x 60 min/hour = 432000 minutes
432000 minutes x 1 retry/5 minutes = 86400 retries
During the retries, you will NOT be notified, but it will show up in the failed services, but only a SOFT state.
Personally, if it's down for 4 days, and up for one, it's not important enough to monitor in the first place.