Sous vide was my first thought, since that avoids the evaporation and oxidation that decreases the intensity of the low and slow method. However I don't think botulism is any more of a concern here than any other sous vide dish and high heat doesn't kill botulism spores so it doesn't really matter how you cook the chilis.
Just keep it above 140F while infusing and keep it out of the <130F danger zone past a few hours. Quickly cool it below 45F using an ice bath after infusing if you're paranoid or cooking for someone that might be immunocompromised.