The reason it grows best in your yard is because you take out the competition mowing the grass. If you want a good stand of white or variation of white, keep your fields cut low.
Also most houses tend to be built on top of heavier soils. I can grow a great stand of clover in my backyard because its clay soil with a decent layer of OM on top....Move a couple hundred yards away though and its sandy soil that doesn't support clover growth nearly as well.
