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Im looking for the best option for outdoor "hyper sync" photos.
If you include portability in that, then battery powered high output 800ws+ is where you should be heading.
How fast do you want to go?
The easy answer is @ 1/2000s, a high powered flash with short 1/2000s flash duration sticking to your maximum sync of 1/250s would be the answer, especially if you're planning any overpowering of ambient and you can't get your Normans close to the action. Simply, theres no better way than just increasing your WS providing it has the short duration you require, or the output in WS with a long duration. Failing that, your WL1600 with a battery pack.
Using Hypersync - however you plan on doing it - you will not be getting any more output from your Norman's at this speed, merely relying on their long duration to provide a continuous source for your 1/2000s shutter combined with a reduction of 3 stops in aperture. This reduction would be natural resulting from increasing your shutterspeed whilst opening your aperture - culminating in no ambient or flash ratio change. If you manage to achieve what you need at 1/250s, then depending (since you haven't tried it yet) on how your Normans and RP's perform, you might achieve the same and be OK, or they might not work as well beyond 1/250s.
You would be better off just trying out your Normans rather than finding out the T.1 / T.05 times as these seem to have no bearing in reality. Only kissing plenty of frogs with your specific tecnique and equipment will give you the answer. I can get full sync up to max SS with a variety of equipment ranging from 200ws-6K with MY setup, as well as increasing the output of Speedlights compared to FP mode, if it's needed. It will be interesting to hear how you get on with your Normans.