Which Fruit do you want him to have? There's a lot of possibilities.
-Kaido's Fruit
-Orochi's Fruit
-Jozu's Fruit
-Moria's Fruit
Since Burgess is Blackbeard's right hand man canonically, I think he'll get the Diamond Fruit, since Zoro has references to cutting diamonds.
I also think Shiryu and Burgess will get angry at each other and fight over who's the true right-hand-man, while Zoro and Sanji don't fight over stupid shit like that, to show how the Straw Hats are more united.