I have no driving experience with the mixture of bias-ply and radial tire, but as an automotive technician and a one time holder of a ( in Canada) MVI license ( Motor vehicle Inspection). That tire combination is not even legal. No debate. Can't even find a tire shop that would even do it, and if one brought a vehicle in with said combination for any work tire or otherwise,they wouldn't touch it..either all bias or all radial . From a legal aspect, be in a accident with a death involved or very serious injuries, all vehicles would be mechanically inspected, and whether the vehicle with mismatched bias/ radials was the cause of accident or innocent casuality, it be deemed unsafe and who knows how that would go for the owner..
All my vehicles ( old and new)have good tires on them. Safety is to important to cheap out on and be scrounging around trying to find a half decent set to tires to put on. I have a friend who does that,he can afford to buy new tires, just chooses not to..makes no sense. If you can't afford new tires for your truck, it doesn't belong on the road.