As far as the front bias-ply tires wandering on the road, will they do that if the rear tires are bias-ply?

I have regular 275/60 street radials on the rear of my Duster street car with M/T 26" bias-ply front runners and 4" wheels and I hate this combo on the street. It wanders and the front tires try to follow every crack in the road.

I either need to get rear bias-ply tires, or switch to a 6"(my centerline Qualifier wheels do not come in 5") front wheel with a wider/taller 205/75/15 radial.