Billing For 27 Seconds Worth Of Work

Problem- consulting clients requires great focus and attention to detail in order to track the work and progress made each day, week and month, and reporting those details to the client. How on earth do I do that if I get and need to respond to 150 emails and 30 phone calls a day across 8 clients that may take 8-10 hours in a day?

I’m considering coming up with a new system for billing. Instead of an hourly rate, either a fee by the second, or by the email.