network hiccups causing false positives to be sent

So our crappy server host (1and1) seems to be getting random network spikes
causing false alert emails to be sent out with Critical notifications.
I understand I can set alerts.cfg to only alert after a certain duration of
red but we need notifications to be sent right away in case of production
downtime.

Is there an option where I can have XYMON ping a certain host, and if that
host is unreachable to ignore any other alerts?
eg.  I can run a ping on yahoo.com and example.com , if either of those as
any connection issues, to ignore all other alerts for the time being?

tia.