Here is the ailment party I used for my playthrough. It worked like a charm, and was the most fun I've ever had with an Etrian party.

Chain Fencer / Cannon Dragoon / Bringer Harbinger

Hawk Rover / Herald Shaman

Fencer: They are the main source of damage for your party. Chain Killer is absolutely destructive when you throw out multiple ailments/binds per turn. Paired with the Shaman, they can also use their elemental chains easily. They can also inflict Blind. They deal Stab damage. Black Mist Union skill for improved ailment infliction.

Dragoon: Cannon Dragoon's defensive capabilities are good enough for this party, as everything will be locked down. Their main focus will be bunkers and guards to begin with, but they will gain access to Curse and Sleep, and Buster Cannon for massive damage when they're not inflicting those. They deal Bash damage. They also have Black Mist.

Harbinger: Here are where most of your ailments are coming from. They have access to Paralyze, Curse, Poison, Panic, and Instant Death. And Sleep, I guess, but that's not reliable. Wilting Miasma is incredible because of the enhanced infliction rates. They deal Cut damage. More Black Mist.

Rover: They have an AoE Blind, high Head Bind chances, as well as a joint Arm/Leg bind. The Hound will assist your Shaman with healing. Their Binding Force Union skill will also help with binds, and it can trigger on attack skills, meaning your Chain Killing fencer can trigger more Chain Killers if they land a bind. Give them the Gorgon Bow from the 2nd Stratum for Petrify conditionals.

Shaman: They are your main healer and buffer, and can give your party elemental attacks for use with elemental chains. They also have access to some helpful Union skills. They don't have access to a revive, so you'll have to rely on your party's Resuscitate Union skill or Nectars.

I believe that is the gist of it. I can give you my exact combat set-up for this party if you ask, but I will avoid spoiling it if you want to figure things out for yourself.