I tried technophebe's suggestion about creating a new faction and changing the <A_ManaRegeneration>1</A_ManaRegeneration> to <A_ManaRegeneration>3</A_ManaRegeneration>, and it seemed to work when I started a new game as that faction.
Since that appeared to work for the created faction, I looked for the same stat in the configuration for the default factions, but it wasn't there. So I copied the file CoreRaceConfigs.xml to the \My Games\Elemental\RaceTypes\ folder, added the line <A_ManaRegeneration>3</A_ManaRegeneration> to the RaceConfig section. When I started a new game, Lady Procipinee was regenerating 3 mana per turn. This is out of combat mana regen only. I didn't play long enough to see how it affected other mana using units, but I am hopeful they will also inherit this out of combat mana regen.
Here is an example of how I changed the CoreRaceConfigs.xml file. The example is just for the Amarians, but I made the change to all the core factions.
<!-- ********************** -->
<!-- ** Kingdom of Pariden ** -->
<!-- ********************** -->
<RaceConfig InternalName="KingdomOfPariden">
<DisplayName>Kingdom of New Pariden</DisplayName>
<Capital>New Pariden</Capital>
.
.
.
<Spellbook>LifeSpellbook</Spellbook>
<A_ManaRegeneration>3</A_ManaRegeneration>
<SovereignUnitType>Lady_Procipinee</SovereignUnitType>
<A_Rations>50</A_Rations>
</RaceConfig>
I am looking for a similar stat for health, but I haven't been able to find it yet. It seems like the best I can do so far is change the health regen for each unit type individually, as suggest by earlier posts in this thread. Please let me know if you stumble across a more global setting.