As long as stock cooling cuts it for you. get the flight stick for sure.
I mean some people buy cases that look real nice, but do not add any performance over a 50$(I was always a big fan of the Antec 300 because it is cheap and works well for the price) or lower case. When building on a budget, the thing I cut down on most of the time is the case(I will also get a non modular power supply in many cases since the power supply on the bottom lets you just pile the extra cables). As long as it has the air flow needed, you are not looking at the case anyway.
Same goes for cooling. If you can spend money elsewhere and get a better experience, go for it. I can not recommend things like the 212 or similar enough for the price(that would be if you wanted some extra cooling on the cheap).
I have an H80i, mostly because my case is small and it was hard to swap video cards with the NH-D14 installed(moved that to another system). My system does not generate enough heat to make much of a difference from those 2 coolers.
Hell even with the H100i, I would normally try adjust the stock fans to see if they can do the job at an acceptable level of noise first. In your case I can see a reason for going all in at once since the shipping costs are higher.