South Noland Rd Driving Range

This course has everything you need, if all you want to do is hit a couple of balls. It is located in a fairly rural, quiet part of Kansas City without many distractions. The cost is relatively inexpensive and if you can convince a friend to come along, the cost is even lower still. The turf is in good shape and is well maintained even if the shop and the parking lot aren't a lot to look at. If all you want to do it is hit the driving range for some practice without the frills, this is an excellent alternative to the more expensive full service golf courses.

This place is pretty cheap to hit golf balls, especially if you go with friends because they have a two for one deal where you pay for one bucket of balls (any size, any price) and you get the second bucket (of equal or lesser value) half off.
Have fun finding the place though because the people who work there have no sense of direction whatsoever.
It is not pretty, but it gets the job done (even though it is not in a great area).