The problem is that people won't mine if they aren't getting paid for it in some way. If you are not going to have a POW block reward, the only solutions I see are either use POS which will perform the transactions, or give high enough transaction fees to draw miners.
Also a good point! Given that this coin is used primarily for creating content on the website, one could argue it's a smaller community than the general purpose cryptocurrency for daily spending, etc (such as Bitcoin, Litecoin, etc). That said, we have not yet commented on transaction fees, since we are not close to the end of the block reward just yet. But yes, increased transaction fees will likely be a part of the system in time. It can actually be built into the system pretty easily too, as content creators (i.e. people writing confessions) have to pay for their confessions. Once the payment is received, a different transaction is issued to store the confession in the blockchain, and that one could have the higher or automatic transaction fee attached to it so that users don't necessarily feel the weight immediately (for example on tips to the content creators).