Add water, salt, sugar, garlic, and herbs to a sauce pan and bring to a boil. Continue to simmer for 10 minutes, then turn off heat and allow to seep for another 5min.
Add ice into a large (at least 4qt/3.5L) container. After brine has seeped, pour it over the ice. When melted the brine is ready.
Add deboned chicken halves to brine, refrigerate, and allow to brine for 4 hours.
After 4 hours, remove chicken from brine and dry as much as possible with towels (and blow dryer on cool setting for extra credit - you want the outside of the bird to be VERY dry). Refrigerate uncovered to dry further until ready to cook.
Preheat oven to 475F/245C - turn on vent hood if you have one.
Add 3Tbsp canola or vegetable oil to preheated heavy (12") stainless or cast iron pan over high heat.
Carefully lay in 1 half of chicken skin side down and press to ensure contact. After 2-3mins, after skin has taken on golden color, transfer pan to preheated oven to roast for 7-8min.
To finish, return pan to stovetop over medium heat and flip chicken to skin side up. Add butter and several more sprigs of rosemary, thyme, and sage. Baste skin side with herb butter for 3-4 min as shown @12:13.
When done, internal breast temp should be 150F/65C. Place chicken on wire rack, pour over herb butter left in pan, and allow to rest for 5min. Top with generous amount of chicken jus (glace).