Is there a specific message that you are looking for? It is probably better to setup the controller to send the SNMP trap equivalent for what you are looking for to Airwave and to send syslog to another device, if you are getting so many syslog messages. https://support.arubanetworks.com/Documentation/tabid/77/DMXModule/512/Command/Core_Download/Default.aspx?EntryId=14097
If you know what specific message and severity you are looking for, you can send only syslog for that severity for the specific train of messages you are looking for. For example, if the message you are receiving is only in "system" and is "informational", you can do this:
config t
logging 192.168.1.3 type system severity informational
If you must send syslog to Airwave you can also limit the days of stored device events by changing the data retention number: