I fly this airplane off desert hardpan and gravel with a well used LA-40 and a 11x4 prop, with no problems.
The trick is reducing the friction between the airplane and the ground for takeoff and in my case I stick some wheels between the two

Now what you need to do is reduce that friction between the airplane and the ground, just use big old wheels the biggest you can fit.
Big wheels, APC 11x4 and you will be fine.