Seconding Papertrail. I don't love it but it works and it's cheap enough and I don't need to love every tool I use.
I do constantly wonder if there's a logging/searching solution small and lightweight enough to fit on the cheapest DO droplet. $7/gb/mo on Papertrail vs $5/mo with a 25GB SSD? That'd be a no-brainer, but ELK and Graylog won't run with that low of hardware.
Depends on how risky you're willing to be with your log data. Something like what you're describing could lose all of your data with a single instance or hard drive failure while a saas like Paper trail has your data replicated across data centers.
I do constantly wonder if there's a logging/searching solution small and lightweight enough to fit on the cheapest DO droplet. $7/gb/mo on Papertrail vs $5/mo with a 25GB SSD? That'd be a no-brainer, but ELK and Graylog won't run with that low of hardware.