CPU Cooler Compatibility

[AxisHax66]

Well, I have a Corsair Carbide SPEC-Alpha and I plan to buy an i7-7700K paired with a Deepcool Lucifer V2 (in about 6M-1Y), but it's 1,2 cm. longer than my case width, according to both manufacturers' websites. Would it be "alright"? Or should I look for another CPU cooler?
There aren't much brands here (in Argentina) and I really love that Deepcool.
By the way, case "modding" is an option for me, but I'll appreciate all your advices/suggestions.
*** Pictures added.

[AxisHax66]

With "modding" I mean making a few tiny holes for the CPU cooler's heatpipes on top of it.

[Enderman]

12mm would be more than just a "few tiny holes" it would mean cutting out the entire huge rectangle for the fins and fan to stick through.

Either buy a new case or buy a different cooler because it will look horrible if you try to mod that to fit.

Even leaving the side panel off would probably look 10x better.

[AxisHax66]

2 minutes ago, Enderman said:

12mm would be more than just a "few tiny holes" it would mean cutting out the entire huge rectangle for the fins and fan to stick through.

Either buy a new case or buy a different cooler because it will look horrible if you try to mod that to fit.

Even leaving the side panel off would probably look 10x better.

But there aren't many CPU coolers that could both fit in my budget and provide me good value/OC room/looks... I found just 3 brands between my price point:
1- Deepcool
2- Zalman
3- Cooler Master.