You are far ahead of the game by concentrating on changing your oil out more often, than worrying about what oil to use.
Moto specific oils are a waste of money, as there are suitable oils available for far less.
Type F ATF is my choice for a 2-stroke engine.
Most of the scare folks have about friction modifiers and clutch slippage is unfounded.
More often than not, problems with a clutch is a mechanical issue and not attributed to oil choice.
Using a full synthetic is a good idea if you tend to heat the bike up with your type of riding, as synthetic base stock can take heats over and above that of what a dino oil can withstand. However, never use synthetic in an attempt to lengthen your change frequency. Always change out early and often. Getting rid of metal particulate is far more important than oil choice.
Never wait until you see your fluid change color to change out. Damage has been done by that time.