As soon as you do the first cl.C you need to do a stance (

or

) and cancel it quickly (

+

) and then do another

(second

will auto correct and come out as a far

), third ground hit is also a far

, fourth hit is a far

.
Now, to cancel the hit and stance at the same time, simply do

+

.
This will do the stance and cancel it at the same time, allowing you to do another fierce punch without going through all the hassle.
Now, there's one more thing, after each stance cancel, you need to input

at the same time that you input you next

or

, otherwise the next hit wont connect.