The LED ring lights are not like a flash. They allow you to see the effect, which is good, but they don't add enough light to solve the problem of getting enough light on a subject at small apertures to avoid camera shake or motion blur.
The Sunpak Dx-8r ring light is reasonable in price, and easy to find, used. KEH has several under $75. The Dx-12r is more powerful and costs more, but still reasonable in price. They will both give TTL auto with the correct module for your camera. Two regular small flashes, up close and on axis will give an effect similar to a ring light. Varying their distances, or using one by itself or with a fill reflector, will give results that are less flat looking, with modeling that you can control.