Steven,
Let me start off by saying, I have not built a DIY LED fixture. I am in research mode. My day job is an electrical engineer. So, my answer (and any other related to this) are based on that background and not on a DIY build. Good to know what your information source is...
I found the Meanwell datasheet. This one is a constant current supply, so it is better suited to what you're doing. LED's (diodes) will be easier to drive with constant current because their IV characteristic is so sharp. Basically, this supply is saying it will provide you with 187W of power if the load voltage is within 18 - 36V. Your original equation will work better with this driver.
5.6A / 0.7 = 8 parallel strings
36v / 3.6v = 10 LED's.
I would back off this by 1 LED in each string and add the ballast resistor & fuse. I probably wouldn't run them in parallel, but most people are. If you do, use the fuse and I would suggest adding the power resistor to allow you to 'balance' the strings. If the forward voltage of the LED's is different between parallel branches, you can fix this by changing any given branches series resistor. I haven't looked at what resistors are available to do this...
Having said all that, I think if you have a fixture setup and the original supply, you could make it work. May not be ideal, but it should function. Just drop down the number of LED's in each string to 9 and add a series resistor (5W probably) and you should be able to get it running. The fuse is always a good idea with parallel strings with either supply.
Good luck.