I have a 2000 300M and with 106,000 miles on it I'm on my third set of tires.
First of all, don't go with the 245 tires, they won't fit. If you want larger tires, change out the wheels. What you make up in performance (not much really) you'll loose out on gas mileage and the price will dramatically climb.
At 25,000 miles I was sick and tired of the original Goodyear Eagle LS's. They had horrible wet traction and loved to hydroplane in the shallowest of puddles. The only Goodyears I've been moderately satisfied with have been on my Tacoma 4x4. I've had three sets of Eagles on new Chryslers I've bought and each one left me far less than comfortable.
I replaced Eagles on my 300M with the best tires I've ever had: Michelin Pilot Sport A/S ultra high performance all seasons. They stuck like glue on dry pavement but more important (to me) was how great they were in the rain and on the snow: I didn't have any problems in any condition. Living in Seattle, wet performance is critical and the Michelins gave me the utmost confidence and unless there was a blizzard (in which you were required to put on chains) I could run up to the mountains and ski. The downside? $1000 for a set of four plus hazzard warranty and they only lasted 30,000 miles.
I currently am riding on Yokohama YK420 tires from Discount Tire and I'll need to be replacing these before some serious snow hits (I now live in Minnesota). I'm rather happy that I got over 50,000 miles on them. They're softer than the Michelins and they don't have as good wet or snow traction but they're far, far better than the Goodyears. Expect to spend $500 to $600 for a set of four. They're roughly equivalent in price to the Goodyears.
After working at a tire store for three years in high school and college (yes, Discount Tire), I can tell you that I'd never put Perilli's on. I'd see people bring their tires back after 5,000 miles with steel belt hanging out the shoulder.
I've run on some Dunlops there were made for Discount Tire (i.e. not branded as Dunlops but made by them) and they were better than the Goodyears but they certainly didn't wow me for the savings.
The following is personal opinion and I don't have a personal account to verify this, but I've never been comfortable with the idea Bridgestone, BF Goodrich and Firestone tires. Continental I'm abivalent about. But these opinions were formed over well over 10 years ago and I'm sure there's been a change since then, for better or worse.
I just checked Discount Tire's website and Michelin now has a touring tire in our size, the MXV4 plus for ~$150/tire in the Minneapolis area. It might be more where you are, Grand Rapids, MI has them for $20 more a tire. A touring is going to be softer than a performance tire (without threatening the integrity of the tire by letting the air out
-- always maintain the minimal recomended pressure) and quiter than a performance tire. Even better? it'll last a hell of a lot longer than a performance tire. Possibly 50,000 to 80,000 miles total.
If these Michelins are less $100 more than the Yokohama's, I'll be putting them on in the next 2 months. I've had their touring tires on Dodge Avenger and they didn't have the sportiness an Eagle LS but they had tremendously better grip in the rain and the dry.