It's worth a shot, but I don't think it will work better than any existing RP archetypes which are already very good.
You also don't need a "full rig" to run against grail ice in RP, you just need Ice destruction or a Knight. You can't assume the Runner is going to be slowed down but forcing them to install multiple breakers because typically that isn't a situation you can really force as the corp, at least not early.
The Current RP Archetype is good in part because cards like Tsurugi are as immediately good against AI as they are against traditional breakers, and cards like Tollbooth and Wall of Thorns are very resilient in the face of Parasite.
Don't forget that to get the advantage of the Grail Ice you need to hold reserve Ice in hand, which likely means including more Ice than usual in order to have enough Ice to actually install to protect all your servers. This means that in order to play grail Ice effectively the Corp may need to cut operations, assets or upgrades to make room.