I have a pair of shimano wide fit road shoes, they’re REALLY wide. Actually too roomy without winter socks (there’s a wrinkle in the upper in summer but not where it would rub) , but then nothing else was a comfortable. So my winter setup is waterproof socks, overshoes, and tape over the vents in the sole. It’s not watertight like northwaves + gaiters off road, but I don’t tend to ride through fords on the road bike! But Shimano don’t make their winter shoes in a wide fit AFAIK.
Northwave boots aren’t as wide around the ball of the foot, but don’t pinch uncomfortably (most of the tightening is around the arch so they feel more like a small sole and a wrapped around upper on my feet). So I can feel the sides, but it’s never bothered me even on 90+ mile days. £150, but well worth it, they last years and do a really good job of making winter rides actually a pleasure. I’m usually really tight and stingy when it comes to spending money on cycling, but life’s too short to not ride for half the year, or ride for half the year in cold/wet misery. The last two winters my singlespeed* has been worth less than my boots!
If SIDI fit and they do a wide version, then as Ton says, get the winter version of what you have.
*ignoring the fact the bike is s/h and the boots bought new, and I changed bikes regularly but the boots are now in their 7th winter.