Workaround for 2 subscription-filter limit in AWS Cloudwatch Logs

Question

I have several lambda functions deployed on AWS that I want to monitor directly for errors to update a postgresql table with. I have created a lambda to parse streamed log data and update the db. I want to set up subscription filters between this lambda and my other function logs. There are 6 log streams I want to monitor and the AWS Console limits the subscription filters to 2 per log group.

Is there a workaround or a better way to implement this kind of monitoring? Thanks