I’m in a similar predicament to yourself
One of the disadvantages that a desktop has to a laptop (depending on the specification) is that they typically use more electricity and may be a bit noisy (although this depends on the computer case, power supply etc)
But if your planning to upgrade the desktop or even build it, that’s when I think they have the best value. If not then they seem a bit overkill these days IMO unless you really need lots of power.
Don’t think that would be the case if your just using Traktor Pro 2
Another thing to consider are Mini PC’s. They typically use less power and obviously are smaller but are essentially a desktop so you can have your separate large monitor and keyboard. One that has particularly interested me is the Intel NUC
With these you have to install the hard drive, RAM, and wireless internet board but there are companies around that will do this for you.