If you really don't want a joystick, you might - just possibly - get away with playing it with a 'playstation-style' joypad, but flight sims without a stick are not easy. Certainly not impossible to play, but you'd be making life uneccessarily difficult for yourself.
The reason a real aircraft has a joystick in it, is because that's the easiest way to control the thing, and if it were possible to fly a plane as well with a mouse or a keyboard, you could be damn sure Airbus would have tried it in real life!
Bite the bullet and get a stick.
Chock