Okay, sorry this took so long, but I've been busy. These are the optimum IV distributions for modest and timid hidden powers if you don't care about attack. A little bit about Mild at the end is tacked on which might help those exploding Heatran users.
Perfect IV possible natures: Modest, Timid, Calm, Docile
Modest Hidden Powers that work by default: Ground, Flying, Dark
HP Fire with modest: 31/26/31/30/30/31
HP Water with modest: 31/23/31/30/30/31
HP Electric with modest: 31/23/31/31/30/31
HP Grass with modest: 31/02/31/31/30/31
HP Ice with modest: 27/30/30/31/31/31 OR 31/10/30/31/31/31
HP Fighting with modest: 31/22/30/30/30/30
HP Poison with modest: 31/03/30/31/30/30
HP Psychic with modest: 31/26/31/30/31/31
HP Bug with modest: 31/19/31/30/31/30
HP Rock with modest: 31/03/30/30/31/30
HP Ghost with modest: 30/27/30/31/31/30
HP Dragon with modest: 31/02/31/31/31/31
HP Steel with modest: 31/03/31/31/31/30
Timid Hidden Powers that work by default: Electric, Ground, Dark
HP Fire with timid: 31/06/31/30/30/31
HP Water with timid: 31/07/31/30/30/31
HP Grass with timid: 31/02/31/31/30/31
HP Ice with timid: 31/22/30/31/31/31
HP Fighting with timid: 31/03/30/30/30/30
HP Poison with timid: 30/27/30/31/30/30
HP Flying with timid: 31/19/31/30/30/30 or 30/22/30/31/30/30
HP Psychic with timid: 31/14/31/30/31/31
HP Bug with timid: 31/19/31/30/31/30
HP Rock with timid: 31/03/30/30/31/30
HP Ghost with timid: 31/11/30/31/31/30
HP Dragon with timid: 31/14/31/31/31/31
HP Steel with timid: 31/03/31/31/31/30
Mild Hidden Powers that work by default: Fire, Bug, Steel
HP Ice with Mild: 31/26/30/31/31/31
Bold Hidden Powers that work by default: Electric, Psychic
HP Fire with Bold: 30/20/31/30/30/31
HP Water with Bold: 31/11/31/30/30/31
HP Grass with Bold: 31/14/31/31/30/31
HP Ice with Bold: 31/10/30/31/31/31
HP Fighting with Bold: 30/10/30/30/30/30
HP Poison with Bold: 31/03/30/31/30/30
HP Ground with Bold: 31/19/31/31/30/30
HP Flying with Bold: 31/19/31/30/30/30 or 30/22/30/31/30/30
HP Bug with Bold: 31/10/31/30/31/30 or 31/18/30/31/31/30
HP Rock with Bold: 31/15/30/30/31/30
HP Ghost with Bold: 30/11/30/31/31/30
HP Dragon with Bold: 31/14/31/31/31/31
HP Dark with Bold: 27/11/31/31/31/31 or 31/27/27/31/31/31 or 31/19/31/31/31/27 or 31/11/31/27/31/31
HP Steel with Bold: 31/15/31/31/31/30
Calm
HP Ice with Calm: 31/19/31/30/31/31
This is a reference for players who want to use Hidden Power on legendary Pokemon in Shoddy Battle. This is not a topic to discuss Shoddy Battle's new feature to restrict IVs based on what is possible ingame. Special Defense is last, not speed. If there are other bits of data that would be useful, mention them and I will research when I have time. If you find data you would like added to this, list it and we can eventually make a complete compendium of Hidden Power information.
Perfect IV possible natures: Modest, Timid, Calm, Docile
Modest Hidden Powers that work by default: Ground, Flying, Dark
HP Fire with modest: 31/26/31/30/30/31
HP Water with modest: 31/23/31/30/30/31
HP Electric with modest: 31/23/31/31/30/31
HP Grass with modest: 31/02/31/31/30/31
HP Ice with modest: 27/30/30/31/31/31 OR 31/10/30/31/31/31
HP Fighting with modest: 31/22/30/30/30/30
HP Poison with modest: 31/03/30/31/30/30
HP Psychic with modest: 31/26/31/30/31/31
HP Bug with modest: 31/19/31/30/31/30
HP Rock with modest: 31/03/30/30/31/30
HP Ghost with modest: 30/27/30/31/31/30
HP Dragon with modest: 31/02/31/31/31/31
HP Steel with modest: 31/03/31/31/31/30
Timid Hidden Powers that work by default: Electric, Ground, Dark
HP Fire with timid: 31/06/31/30/30/31
HP Water with timid: 31/07/31/30/30/31
HP Grass with timid: 31/02/31/31/30/31
HP Ice with timid: 31/22/30/31/31/31
HP Fighting with timid: 31/03/30/30/30/30
HP Poison with timid: 30/27/30/31/30/30
HP Flying with timid: 31/19/31/30/30/30 or 30/22/30/31/30/30
HP Psychic with timid: 31/14/31/30/31/31
HP Bug with timid: 31/19/31/30/31/30
HP Rock with timid: 31/03/30/30/31/30
HP Ghost with timid: 31/11/30/31/31/30
HP Dragon with timid: 31/14/31/31/31/31
HP Steel with timid: 31/03/31/31/31/30
Mild Hidden Powers that work by default: Fire, Bug, Steel
HP Ice with Mild: 31/26/30/31/31/31
Bold Hidden Powers that work by default: Electric, Psychic
HP Fire with Bold: 30/20/31/30/30/31
HP Water with Bold: 31/11/31/30/30/31
HP Grass with Bold: 31/14/31/31/30/31
HP Ice with Bold: 31/10/30/31/31/31
HP Fighting with Bold: 30/10/30/30/30/30
HP Poison with Bold: 31/03/30/31/30/30
HP Ground with Bold: 31/19/31/31/30/30
HP Flying with Bold: 31/19/31/30/30/30 or 30/22/30/31/30/30
HP Bug with Bold: 31/10/31/30/31/30 or 31/18/30/31/31/30
HP Rock with Bold: 31/15/30/30/31/30
HP Ghost with Bold: 30/11/30/31/31/30
HP Dragon with Bold: 31/14/31/31/31/31
HP Dark with Bold: 27/11/31/31/31/31 or 31/27/27/31/31/31 or 31/19/31/31/31/27 or 31/11/31/27/31/31
HP Steel with Bold: 31/15/31/31/31/30
Calm
HP Ice with Calm: 31/19/31/30/31/31
This is a reference for players who want to use Hidden Power on legendary Pokemon in Shoddy Battle. This is not a topic to discuss Shoddy Battle's new feature to restrict IVs based on what is possible ingame. Special Defense is last, not speed. If there are other bits of data that would be useful, mention them and I will research when I have time. If you find data you would like added to this, list it and we can eventually make a complete compendium of Hidden Power information.