Faro Airport to Monchique is 86km according to viamichelin.com
You travel for approx 58km on the A22 motorway in the direction of Lagos and then the last 20km on a national road.
The last 10kms is windy.
In July it will not get dark till after 21:00 so you should be OK.
However, make sure you have a very detailed map as
to where you are going in Monchique as it can be difficult to finds places there.