Welcome to RCU. Here go a grew trucks that are all within your price range, are 1/10 scale, and are 4x4.
http://www.rcboca.com/rc-trucks/elec...ink-radio.html

Thus one comes with batteries and wall charger included. http://www.rcboca.com/rc-trucks/elec...nter-body.html

If you want to do some track time in the future this would be a better choice. http://www.rcboca.com/rc-trucks/elec...ghz-radio.html