I use shotgun bore mops (maybe one of the gun aficionados knows a better term for these)
I will normally prespray the grille along with license plates and other nasty bits just prior to snow foam. While the foam dwells I will use a detail brush to agitate the nooks and crannies a wash mitt can't get; along with that, I'll use the bore mop on the grille if it's honeycomb.
One way or another I will aerosolize whatever is going to protect the grille, either a trigger sprayer, air brush or aerosol can. Follow up with a bore mop to even it out.
The poor man's solution would be a MF towel wrapped around a chopstick, wheel woolie or dowel.