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, Fall-Line Suspension Arms/Bushings, AP Racing BBK, OE GTS Aero, Cobra Seats, Akrapovic GT4, GMG 4-point, BBS E88