Eat the 3 best stamina foods you have.
Use the hat if you have it.
Make as long a throw as posible, and reel in (for leveling the skill) to 6-9 meters and let it rest there until something bites.
Once something does, only reel in when it doesn't wriggle; when it wriggles, your stamina burns really fast.
Have a Stamina potion ready for that odd catch where all other tactics doesn't suffice.