Fluffy622,
We use 55mm slick tyres on asphelt here in Australia. Up front we use the Ride 3035 and on the rear Cross 36 with either a round or square edge. I only use the Cross Rims where possible as I like how they work. A Spice insert works well. In cooler weather I would change the front to a Ride 3027 and the rear to either a Cross 28 or 24 for the rear.
Others have used Sweep 40's on the front with Sweep 25's on the rear with pink inserts. These tend to wear faster than the Ride/Cross combination.
Hope that assists.
Calvin.