I have, and a few other members too, run a Michelin Gold Standard (GS) Bias Ply on the front with Radial rears with good results. I ran my first GS set for 22,000 miles front and 18,000 miles rear. At the 18,000 mark I put my first Darkside Radial tire on the rear and kept the GS on front. My second GS front went to about 20,000 miles, 3rd went to 20K too, split up on 2 different bikes. I am on my 4th GS and have a Federal Formosa Car Radial on the rear.
Just to clear up the mileage, First 03 650 went to 54K, 2nd made it to 19k and current is at 32K.
One thing to remember on most motorcycles, the front and rear brakes are NOT linked. You can skid the front or rear independently from each other. Where the control (proportion) comes from is your squeeze of the lever. On a car, all 4 tires must be matched as the brakes are linked. Mixing Bias and Radials on linked systems may cause a spin out crash.
My Dodge Little Red Express Truck is a good example of brake proportion. The front tires are 235/60 HR 15's and the rears are 325/50 ZR 15's. If it is proportioned for like 235/60 HR 15's all around, the fronts will skid well before the rears start working well.