The most common and most likely answer to this crossword clue is the 4 plus 2 plus 6 letter word RIDE TO HOUNDS
I've seen this crossword clue in The Daily Telegraph
R
I
D
E
T
O
H
O
U
N
D
S
Buddy explains!
The straight part
We know that "Hunter: I’d do so with organisation" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case hunter: i’d do so with organisation = ride to hounds.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.