If you are using SmartConsole to connect to each log server, as opposed to having a unified view of multiple sources in it, you can use a non-indexed logs:
Disabling Log Indexing
To save disk storage space, a Log Server can be configured to work in non-index mode. If you disable log indexing, queries will take longer. You must disable it on all management and Log Server objects in the environment. You are not allowed to have some Log Servers in index mode and other Log Servers in non-index mode.
When log indexing is disabled, you must connect with SmartConsole to each Log Server separately to query its logs. When you connect to the management server you do not get a unified view of all logs, as in index mode. On each Log Server, the search is done in one log file at a time.