Average response time of Esp8266 module I'm planning a project where I'd like to control an RC car with Arduino and an Esp8266 module. 

A software running on a computer would read the input from an USB analog controller and send the data to the Esp8266 module through the wifi network, and the Arduino would read this data and send signal to the ports accordingly.

What I'd like to know is: would ping/delay be an issue? Considering a dedicated wifi network for this, so the only devices connected to it would be the computer and the Esp8266 module. 

I need to know what is the average response time of the Esp8266 module before I buy it, because if it is too high I'll think of something else since for this project I'd need a reasonably high response time.
I think response time would be a big problem. I used the ESP8266 with a temperature and humidity sensor, complete with a small web server on the ESP8266, and it works fine. But I wouldn't want to control an RC car with it. But if you buy it on ebay from China, it is only a few dollars, so buy one anyway.

Use Bluetooth, either a couple of HC-05 modules, or the Bluetooth Low Energy HM-10 modules. Both can communicate at 115200 baud. The HM-10 modules may be a bit tricky, because some Chinese sellers put a stripped down version of firmware on the module, and forces you to search online how to flash a usable firmware version.