Here's my standard route into Campus from Leamington:
Starting from Radford Road where it meets Willes Road. Head up Willes Road, go up the hill and over the traffic lights, and take a right at the crossroads with Warwick Street. At the next crossroads, take a left and take the second right on this street (you should be on Kenilworth Road).
On Kenilworth road, keep going straight, past the various traffic lights and pedestrian crossings. At the roundabout, turn right onto Stoneleigh road, and keep going straight. Go over the roundabout, past Stoneleigh Park. After you go down a big hill, follow the road round onto a small bridge and take the first left. Keep going straight, and go straight over the crossroads. Go over the A46 bridge/junction and at the roundabout take a right. Go over the two hill and go straight over the crossroads (Take first hill easy, as the second one does tire you out!) Take the third right onto Gibbet Hill campus and use the cycle path to get back to main campus.
There are other routes I use to get home, but these are more like "detours" than cycling to and from Warwick.