Can't Peel This (w/o Suppression and Knockups at least!)
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If you have any questions, or see any problems with the math, tell me so I can take a look.
According to the Wiki, as far as I can tell, this is how they should be calculated in the new system.
The new Runes needed for this are under Precision: Legend Tenacity (20% maximum tenacity resistance; permanent stacks up over time), and Resolve: Perseverance (conditional 10% resistance per summoner spell on cooldown, and an additional 15% for 10 seconds after using a summoner spell).