First thing I'd look at is the tires themselves. Why treaded? On the 10 inch tires I've run, we always bought new tires and had them buffed down to be almost treadless. No tread will definitely help with directional control issues.
I never really trust retreads either.....personal preference. Retreads are always HEAVY, as you noted in your posts. I spoke to a Goodyear rep once and asked why Goodyear doesn't offer retreads for GA tires. He said they do many thousands of retreads a year, but only on airliner type tires. He said the cost to do a proper retread and the increase in weight just didn't make sense to Goodyear for retreading small tires. He did say there was really nothing bad about retreads, properly done, except weight.
Gunny may have hit the nail on the head as well, though. The combination of a bigger contact patch and a treaded tire might be what's causing the issues. That is all going to be amplified by the spring gear on a Cessna, and it can get pretty exciting at times.
Since you are familiar with gear alignment on these things, if you're planning on running these tires regularly, I'd re-align the gear with the big tires. In my experience, gear alignment can be a significant PITA, but getting that gear alignment right is really essential on spring gear Cessnas.
But, again, I'd consider getting a new set of tires and have them buffed, or get the retreads buffed for that matter, to get rid of most or all the tread.
MTV