Cant find internal space for the case, external is 213mm. Typical internal space with mobo installed is 25-45mm less than the outer dimension.
Maybe someone who has one can confirm but the heat sink probably should fit (or be very very close).
If you want a great air cooler at amazing price
https://www.amazon.com/PHANTEKS-PH-TC14PE-Heat-Pipes-Premium-patented/dp/B005OREE38
proof that it fits in a 1200:
https://d1rktuf34l9h2g.cloudfront.net/2/29/29efad88_PH-TC14PESideOpen.jpeg
The phantek is 9mm shorter, and has more ram clearance than the R1, with any high end cooler you have to make sure you dont buy tall ram, nothing with a tall heat spreader or fins sticking above it, this is a common issue people don't consider on their builds. Get low profile ram.
Im sure youve researched it already but:
Silver Arrow IB-E, Cryorig R1 Ultimate, Phanteks PHTC14PE, and Noctua NH-D15 are tied as the #1 air coolers but $75 for a dual tower cooler is crazy cheap, price wont last.
The R1 maybe a one or two degrees cooler, the phantek a few decibels quieter, the difference really is not noticable, of the 4 i listed I recommend always getting the cheaper one