Yeah, no reason the gateway shouldn't be able to read it after a lot of looking into things when I was looking to make my purchase the most recommended cards I saw were SanDisk and Transcend. Most people recommended not going over 16GB though not 100% sure on the reasoning behind this however 32GB cards will work as well. The most important thing I saw to make sure its a class 10 card to so you get good read/write speeds to launch your backups. Being the SanDisk Extreme though that's not really a factor you have to worry about. Id recommend uploading the image and compressing the dimensions a bit too haha that is a very large image.
i used a 32 gb one for about a week or two...then had to upgrade to 64gb lol..maybe someday ill spend the 100$ on the 128gb one..but..so much to drop on a card lol..wish could just drag and drop over and over again instead of all at once sorta thing to avoid the fragmentation error lol