185's are pretty small for Bert's car. I would do 205/50/15. You might be saying that 205 is still small, but I say due to the weight of the Corolla, and how it is balanced, 205 is just fine. If he had an engine with more torque, I'd say 225. The car has a solid axle rear as well, so that also helps with contact patch.
If you look at most of the pro Corollas, you will see that 90% of them use 205's or smaller. Hell, Taka Aono ran 205/45/16, and he has a boosted Hasselgren motor making 380 whp. There isn't a lot of weight pushing huge side loads against the tires, and if the tires have a nice stiff sidewall, the contact patch is pretty decent.