With hair as thick and long as yours, you do need a long hair sticks.
Susan's Rapunzel sticks would work well for you I bet.

For an inexpensive, everyday option have you tried chopsticks?  I'm not talking about the cheap pine sticks you get in the restaurants, I mean nice chopsticks.  Stores like Market Place and Pier 1 usually carry nice sets made of hardwoods.  I seldom need to do anything to them (like sanding them).  They have nice patterns too!

Where I come from, lots of Pacific Island girls have very long, thick hair. I can't think where you'd buy them, but the wooden sticks I bought were both strong and non-slippery.