Hey Rosemary,
You should be able to run strict CPC only, pay per click campaigns within Facebook. They do their best to steer you away from this model but it can be done. When setting up your campaign you can set this distinction in the "How much do you want to spend?" section. Within the "optimize for" drill down menu select Clicks. From there under pricing you can select max bid per click which will allow you to select how much your willing to pay per each individual click.
Here at Moz pending on the objective of each campaign we utilize different pricing models, but we tend to use the CPM and maximize from impression options when pushing content, which we normally use facebook campaigns for.
Hope this helps
Kyle