Is there anything to configure to possible list the ICAP triggering Threats within the Treats menu?
No, you can see only threats in the filesystem
If not, are the ICAP triggering submissions available through SNMP?
Yes. see https://cdn-download.drweb.com/pub/drweb/unix/gateway/11.1/documentation/html/en/index.html?snmpd.htm to configure
I would be okay with the solution temporarily "saving" the offending ICAP submissions within a local host controlled folder, which would be subsequently re-scanned by any of the available locally bound Dr.Web daemons in order to report the Threats originally gathered/found/stopped through ICAP. Possibly with a short ICAP log/timestamp.
For this case, we do not support local saving. You can see information about these detects in our log