Yeah it's kind of confusing.... Breathing Color has started to bundle all their icc profiles together in a zip file for whichever model printer you are using.
http://www.breathingcolor.com/action/bc_icc_instructions/ walks you through the process of downloading that zip file plus how to set up the printer/driver... KIND OF...
The correct icc to use for Lyve canvas is "BC_Lyve_x900_MK_Canvas.icc" where "Canvas" indicates the proper media type to choose. However, like you said, there is no "canvas" setting on the 4900's panel. I BELIEVE the correct workaround for this is to set NO PAPER SELECTED on the printer itself, and then in the printer's driver set it to the CANVAS setting just prior to print. The settings in the the driver supersede the printer panel selections (I'm told). HOWEVER, again, in the printer driver, there are two different canvas settings that use MK ink. Fine Art paper>Exhibition Canvas Matte and Premium Canvas Matte. Which is the correct one to use? I BELIEVE I used Exhibition Canvas Matte (until I started creating my own profiles). You should just call Breathing Color.
And on a side note, BC instructs people to use "perceptual" as the rendering intent all across the board because it's a "safe bet," they told me. But it's really up to you/the particular image which is the best rendering intent to use.