We store some logs at a small scale (5k/s) and queries are fine 0.9.5. You just have to be smart how you do tags still. Hopefully 0.10 is the same.
InfluxDB is optimized for storing samples. I don't know for sure about 0.9+, but I can't imagine the architecture has improved to the point where it would be happy about storing large amounts of text data.
Perhaps if the logs used logfmt with a parser as an intermediary.