If you have a gaming desktop, a gaming laptop is total overkill and won't get used in my experience. The exceptions are: if you travel a lot or aren't at home a lot (assuming that's where your desktop is).
Basically, I would get the chromebook or something equally nice and small and light etc. that will do you for work/media/etc. when you're not at home and then game on your desktop
As for specific models, I don't know the chromebooks well as an australian, but I know quite a few people who run macbooks (or airs) with windows for the purpose you want. There are a lot of them about and second hand they can be ok value.
Other than that, lower end flagships (such as XPS, envy, samsung series 9(?) etc.) from big manufacturers are ok buys from time to time when there are sales. As for which is best, it really depends on your priorities, but again (more general rules), buying a low-end version of the high-end product is a good way to get something nice