A 350lb bench is a hell of an accomplishment for anyone. Major props, bro! You should forget about 360--might as well go for 365. Three-and-a-half plates per side looks a lot better than 3 plates and some change. You've only been on cycle for a month so its well within your range expecially considering your weight and measurements.
It actually took me years to go from 315 to 350. I was stuck at 315-325 from 2000 to 2003, then I discovered WSB/the conjugate method and started working my tris hard, doing lots of board presses, floor presses and bench presses with chains/bands. Within 6 months I hit 350 and 4 months after that I hit 405. Start training the hell out of your tris and with close grips and the above mentioned exercises and 365 will be a snap (and the 19" guns will also be attained--remember that 2/3 of arm size are triceps). Good luck
Again, congratulations.