For Mahogany trees, ape atoll would be the least convenient i suppose. It requires monkey madness and the recipe for disaster "saving awowogei" + we cannot cut while in monkey form so we'd be murdered by the poisonous animals on that island.
Tai bwo wannai: Requires trading sticks in the inventory. There's only a few minor changes from standard tree cutting and banking methods that you already have. To access the trees, you have to pay 100 trading sticks to enter the fenced in area. Cut logs. Leave fenced in area. Talk to some guy a minimaps distance away west. "Bank" items through him. It's basically a deposit box. (costs 10 trading sticks per item you bank). and repeat.
I appreciate your offer to script this; however, before you do, let me give you forewarning. I doubt how much this part of the script would be used by others as the logs sell for only 71gp each (planks 1,349 each = 149 profit after planking them yourself). It's only useful to me cuz I'd like to level up my construction on my self-sufficient account.
If you still want to add that part of the script, I can lend you my account to use.
Either way, CHEERS