Personally, I would take the stick, so I can use the desktop PC version of programs I use. Which version of the stick is this? The old Atom Baytrail CPU? If it is I would get the big storage version (I think 32 GB and 2 GB RAM) and wipe out the OS and install a lightweight Linux distribution on it.
Using continuum or compute stick you would still need a keyboard, mouse and monitor (or HDMI port TV/monitor for compute stick) to be productive. If wherever you go you will ALWAYS get access to that, then go ahead use it, otherwise get a laptop.
Continuum dock makes sense if you can borrow a PC. It is good if you don't have a desk on your workplace, or you are a traveling support or salesmen who can get access to customer PC without leaving any virus / security leak on the host. That's about the only usefulness of it.
Compute stick makes sense driving a display for advertising, kiosk or whatever. Or making power point presentations on other people projectors. It might work as an MS Office VDI terminal for a call center or bank tellers. Otherwise it is currently lacking as a HTPC or a PC replacement.
I would prefer Intel's NUC personally, the Skylake CPU ones are looking nice for HTPC, but it's price is almost the same as a good laptop. Not good enough for a gaming LAN party or Xbox / PS4 replacement.
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