If you are looking for search, you should checkout Coalmine (https://www.getcoalmine.com). Not only does it do keyword searching, but you can also pivot and filter results by class, hostname, time, etc.
Hmm... can you explain your use case a bit more? Even things that are 'unlimited' have an upper bound (e.g., data plans, etc). From Coalmine's perspective, having upper limits ensures that all users on the system are guaranteed some kind of quality by avoiding some application spiraling out of control and sending tons and tons of errors to the service.
From a developer's perspective, if I believe my application will need to be able to send unlimited amounts of error reports, I should probably revisit my design. ;)