I rented a 320 from rentracecar.de or similar, google will find it.
Very good, proper seats, caged, decent rubber and brakes.
A mate lost the €500 deposit by sideswiping a 911 that overtook on the wrong side.
Strangely enough he's not wanted to go again!
Many years ago did a dozen laps in a hire car picked up from Koln airport while there on business, wouldn't do or recommend this though, they all have exclusions now.
Never been in November, might be a gamble with the weather.
E46 M3 & M135i