Nowadays, a significant part of human activity is supported by information systems, especially Web systems, hosted in the Web clouds. The architectures of Web cloud systems are in most cases complex. In this paper, we try to determine which cloud configuration in double-layer architecture is the best when using the fuzzy-neural intelligent method of request distribution. We present the distribution strategy, a testbed and the results of the conducted experiments. At the end of this paper, we discuss results and present final conclusions.