If you want to shift large amounts of data around quickly, use Array.Copy
rather than a loop that copies individual characters.
If you swap to a byte array and use Array.Copy
or Buffer.BlockCopy
you will probably improve the performance a bit more (but if you have to convert to/from character arrays you may lose everything you've gained).
(edit: Now that you've posted example code): If you use references to the array rows then you may be able to shift the references rather than having to move the data itself. Any you can still shift the references using Array.Copy)
But if you change your approach so you don't need to shift the data, you'll gain considerably better performance - not doing the work at all if you can avoid it is always faster! Chances are you can wrap the data in an accessor layer that keeps track of how much the data has been shifted and modifies your indexes to return the data you are after. (This will slightly slow down access to the data, but saves you shifting the data, so may result in a net win - depending on how much you access relative to how much you shift)