I think the 696 is like the 1100S in that it has a lower riser. The Evo's is 20mm higher and, as I understand it, fits with no cabling problems.
http://www.ukmonster.co.uk/monster/s...80&postcount=2
This picture shows the difference between the Evo riser and 1100S version, (which I think is the same as yours).
My standard Evo riser measures 58mm from base to top. The CNC Racing one I have is listed as 59mm but, because of an additional spacer, actually raises the bars by about 7mm. So, if your standard riser is a low one, you should be able to add at least another 27mm without encountering any problems.
And yes, the standard brake lines are (black sheathed) braided.