I don't have experience with the 1M but I would either run 255/35 & 275/35 or 275/30 & 295/30 with those wheel sizes. I can't speak to how much room the 1M has for larger tires...
'04 E46 M3 - Jet Black - Sold
'08 E90 M3 - Alpine White - Sold
'13 E92 M3 - Silverstone II - Sold
'13 E92 M3 - Alpine White - Ohlins TTX, AP Racing BBK, Cobra Seats, Akrapovic GT4, BBS E88, Volk TE37, OE GTS - Aero, 1/2 Cage & Seat Delete