do you already have some of the parts or are you looking to build the entire computer?
That is a good cooler and Power supply for your build. How old is the Power supply though?
Travel as in stick it in your car trunk or travel as in checked luggage?
For in the trunk, liquid cooling with an AIO works fine, custom loop with soft tubing is probably OK, hard tubing is no way.
For in checked luggage, just leave it on the front porch so someone can steal it instead.
PS - that case in the build link doesn't fit a 280mm radiator according to the listed specs. Have a look at the Hyte Revolt 3 Mini, which does support a 280mm radiator and has a handle for easy carrying.
The ultra small cases have no space for custom loop unless you really know what you're doing and are willing to modify extensively. that hyte just barely has room for an aio. to fit a custom loop, you'd basically make a custom loop that looked like an aio. and a single 280mm probably isn't enough for both cpu and gpu. for custom loop you should consider a bigger case, something like a Corsair 280x or LianLi O11 Mini
I would consider getting a new power supply for your build. It is getting a bit older. They don't last forever.
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