This has nothing to do with Blockchain.info, except that it doesn't have a perfect dynamic fee algorithm. There is an extraordinary amount of spam/congestion on the network right now. I can't remember the last time I saw spam like this hit the blockchain all at once.... maybe the "stress tests" of last summer. Check it out: https://bitcoinfees.21.co/

To get in the next block, it takes > 200 satoshis/byte (and rising), but more importantly, the spammers are creating big bottlenecks at various fee rates to make it even harder to get confirmed.

Check out the services forum for some transaction acceleration services, some of which are free: https://bitcointalk.org/index.php?board=52.0