The problem of constantly changing wraps is not having enough Izulas on hand. The solution is to buy many Izulas so you can have various wraps on each to enjoy and an Izula that is kept bare for trial wraps.
I like several different wraps, but my preferred one on an Izula is this one:
Where did you learn that wrap? Do you have a website or video? I really like the look of it, especially with the central cord running through the middle.