Open common5 in BrawlBox.
sc_selcharacter -> MiscData[30] -> AnmChr[NW4R] -> MenSelchrFaceA_TopN__0 -> nameEA0
Click on nameEA0 and you'll see a box with some scale/rotation/translation and X/Y/Z coordinates towards the bottom.
Edit the scale of the X, Y, and Z axis coordinates all to 0.
Repeat this for MenSelchrFaceB_TopN__0 to MenSelchrFaceI_TopN__0.
Note that it won't have a "nameEA0", it will probably have a different number for each one. MenSelchrFaceB_TopN__0 for example has nameEA8. Once you've edited the scale of all the X/Y/Z axis coordinates, save it. Load up Project M and you should have a CSS without the names.
It's not very hard or complex at all, this process should only take you a couple minutes.