For stats you want +10.0% ATK and +10.6% Crit Damage.
For the Special talent, you want 8.5% Electrical Damage
Coronet has both a low base crit damage stat (30%) and a high crit chance( 25% from her shotgun, 28% from her Deiwos, and 12% from her Alignment Index = 65%)
(Remember that shots against enemy weakspots have a 100% crit chance, meaning any extra crit rate mods she has are literally worthless when shooting a weakspot.)
This means that Crit DMG Amplifier mods work out to be her strongest damage increase
With that being said, Crit Rate and Alignment Index mods do work out only slightly worse:
119.5% Damage factoring in crits, but with no Alignment Index, Crit Rate, or Crit DMG Amplifier mods
123.32% Damage with 3 max-roll Alignment Index mods
124.27% Damage with 3 max-roll Crit Rate mods
125.7% Damage with 3 max-roll Crit DMG Amplifier mods
Again, Alignment and Crit Rate mods are useless if shooting at a weakspot, but Crit DMG Amplifier mods are her best option regardless of what she's shooting at.
This means that whilst a Crit DMG Amplifier mod is Coronet's best stat after ATK, Crit Rate and Alignment Index are both very good stats that perform very similarly.
Note that if using Nightglow as a support, then Crit DMG Amplifier mods are stronger, due to Yao's strong crit dmg buffs.
Being one of the OG 5* operatives, Coronet doesn't have her own designated logistics squad:
Amano-Iwato
Increases ADS Ballistic DMG by 10% after a crit. Max 5 Stacks. A great choice if you are ADS'ing with Coronet due to her very high crit chance.
If you only hipfire and if you don't ADS then it's obviously terrible, but Coronets high crit rate gives Amano-Iwato great synergy with her.
Mingyi
When dealing Electrical DMG, increases ATK of the equipping operative by 1% for 3 sec. Max 45 stacks. Repeated triggers will reset the duration.
Still less total damage increase than Amano-Iwato, but doesn't need ADS, although does require Coronet fire basically continuously.
With higher Manifestations, Coronet's high uptime on her RoF-boosting standard skill means that sustaining Mingyi isn't overly difficult for her.
TL:DR: Use Amano-Iwato if you ADS, and Mingyi if not.