How is it possible? According to the guide for suspicion points it is not possible to get the neutral route, Thane, and Axel to like you enough to try the dish. What choices did you make during the war?
In my opinion the "BEST good/neutral ending":
Act1: Do NOT meet Nauxus in the Swamp (very important). First go to the Bull Village and kill the Lizard Spy. Suspicion: Nauxus 1 ; Axel 0
Act2: Help Thane. After you got the Fear Potion, take the Quest from Selye! (not Axel). Sus: Nauxus 3 ; Axel 1 (sidenote: Cause you killed the Spy and Axel likes you more, you can ask Axel about "What do the Bulls for fun?". :)
Act3: Help Nauxus with the Rogues Lizards. Sus: Nauxus 3 ; Axel 4
Act4: Give the Fruits to the Bull Tribe. (You MUST give the Fruits to the Bull-tribe to prevent the execution of the three Lizard Prisoners). Suspicion Final Score: Nauxus 3 ; Axel 2
For the price of one Life (the Lizard Spy) you save everyone else and claim ALL the benefits of the good ending: 1. Nauxus Romance (if you forgive him) + his Emblem 2. Happy Father-Son Reunion 3. Axel becoming foodtester for Thane's Hell Kitchen Quest -> meaning you avoid the loss of HP or LUST.
Enjoy the best outcome of the war. Probably canon as well.
The Act1: is often the Deal Breaker. Many People will walk straight to the swamp in order to meet Nauxus and the Lizardwife; this is wrong! You need to meet Thane first and kill the Spy.
Getting the Nauxus Romance without Casualties is sadly impossible. You only got the choice between Sacrificing the Liazrd Spy or three other people.
Another Version of a good Ending if you want to save EVERYONE: "THANES ROUTE / No Casualties Ending".
Act1: Meet Nauxus in the Swamp ASAP and agree to save the Spy. Then go to the Bull village and meet Thane and Axel. Save the Spy. Suspicion: Nauxus 0 ; Axel 2
Act2: Help Thane. After you got the Fear Potion, take the Quest from Selye. (not Axel!). Sus: Nauxus 2 ; Axel 3
Act3: Listen to both chieftains demand but help Thane instead. Sabotage both sides. Recommended : allow Thane to stay at the Tavern. Sus: Nauxus 4 ; Axel 5
Act4: Give the Fruits to the Bull Tribe. If Thane is living in the Tavern, Axel prepared a surprise-basket for Thane. On the next day GO IMMIDIATLY to the Bull Village to prevent the Execution of the threee LIzard Prisioners. Suspicion Final Score: Nauxus 4 ; Axel 3
Downside: Nauxus will be salty and refuse any romance. You won't get the Star Emblem. You will also miss a bunch of Extra Dialog with both leaders.
The Main Problem is Act 4: You must give the fruits to the bull tribe, otherwise Eyvind will not arrive at the bull village on time to stop the execution. You are not allowed to gain more than 5 sus on Axel between Act1-3. We also should not help Axel in Act3 because the bomb comes with colletaral damage killing 3 Lizard Warrior. And on Act2 we need to asssit Thane otherwise the Lizard Trio or Tomahawk and his brothers will die. And to get Axel help for Thanes Kitchen Quest: Axel's sus < Nauxus Sus.
Fazit: You need to sacrifice the romance with Nauxus to save everyone. Period. Otherwise Nauxus vs Axel SUS = 3:2 by killing the Lizard Spy before you meet Naxus is the best outcome with the least amount of casulties.