My gf did the full 13 week cycle, took a few weeks off and started it again.
She benches on Tues, Thurs, and on Saturday after her squats. She does sheiko bench and it works very well for her. she generally does some pulldowns, face pulls and delt work after that.
As for the base cycle, why not use 375 as your max? Your max is 425, and if you're lifting everything with the force of someone who squats 425, as opposed to the force of someone squatting 375, you won't get weaker, it's brutally hard either way, and you max after the base cycle anyways to get your weights for the mesocycle. Harder isn't always better.
Either way, best of luck, Smolov is badass.