Maybe $.01. Everyday there is a lot of transaction going on so they can still take a huge amount from that. I know there is a few millions of people now using bitcoin. I bet they get much more than they need and there's no need be greedy.
I hope that 0.01$ will come true but right now it is not going to happen since the problems on bitcoin is still there. If probably BTC and BTU can be harmonized and will solved the blocksize problem on mining then 0.01$ is possible to meet. What we can do for today is just wait for the update between BTC and BTU and how it will affect the bitcoins value and if it can solve the current problems on bitcoin right now.
Actually high bitcoins fees would mean that useless or unwanted transactions would be minimized and that actually will help diminish cause of block size issue. I guess there are too many unwanted transactions going on and guys if you really want to send many transactions at the same time please learn how to send multiple transactions at the same time in a single tx that really helps.