Oh you should be fine for any RAM kit with that cooler since it doesn't even overlap the RAM slots anyway. If you intend on maxing out that board, then I'd get a 32GB kit in there. You could go with a 2x8GB kit, and you would save money but you'll run in to matching problems if you want to go for that 64GB max. Realistically if you're only gaming (and including the 6GB overhead you're talking about with other programs) you wont likely use more than 32GB in this systems life span even with system requirements usual climbing need for more RAM. If you get 32GB now, you're done having to worry about it. If you get a 16GB kit now and upgrade to another 16GB kit later you're running in to two situations 1) You have to get matching kits, and depending on manufacturing differences you may end up with there being slight problems between the kits that can cause issues and 2) you put a bit more stress on the memory control and introduce a tiny bit of latency by using all 4 slots. If you budget allows, I'd say go for 32GB now and not worry about things unless you for some reason need that 64GB of RAM in there.
For a 32GB kits
2133/2400 (they're prices are oddly close so a lot of time 2400 costs less than 2133)
Kingston Fury
https://smile.amazon.com/Kingston-Technology-32-Internal-HX424C15FBK2/dp/B01D8U2AHO?ie=UTF8&tag=pcpapi-20
For 3000
Go for one of these kits. They're they same price but you have the option of black, red or white.
http://pcpartpicker.com/products/compare/pGqbt6,3Mbkcf,Bgbkcf/
For 3200
http://www.newegg.com/Product/Product.aspx?Item=N82E16820232210&nm_mc=AFC-C8Junction&cm_mmc=AFC-C8Junction-PCPartPicker,%20LLC-_-na-_-na-_-na&cm_sp=&AID=10446076&PID=3938566&SID=
As for the speed differences. These kits all have a CAS 15 so the overall latency (the number you care about) for the DDR4-2400 kit is running at 12.5 nano seconds, the DDR4-3000 kit is 10ns and the DDR4-3200 kit is 9.38ns. Lower numbers being better. I've seen one article about gaining FPS due to higher RAM speeds, and it was only with a specific game, so this may be something that comes in to play with future games, it may not. In general, if you're not doing intensive tasks (CAD, rendering,etc) the only time you'll see performance differences due to RAM speeds is in benchmarks. It's up to you to decide if the $20 - $40 difference is worth it.