I think you should try with a separate handful of that material you use for hair, just glue the top to a surface but leave the rest like it looks on the final model and then try various types of techniques to see which works best.
Paint and glue will make it stiff and unmaneuverable - only fitting if you don't intent to or need to work with it again. If the fixings will be a permanent addition and not something be removed later and have the hair look normal again, then a rubber band can be used as a stand-in to simulate the squeeze of the goggle strap, while you glue down the hair - then remove the rubber band and add the goggles, but again: this is for a permanent look.
I doubt you'll be able to do a styling that leaves the hair workable afterwards for on and off application of accessories.