<p>I was looking at purchasing the Creality CR-X or another similar dual extruder (note, NOT dual nozzle) printer. I know it was designed to print two colors of the same filament, but is it able to print two different filaments?</p>
<p>I would be printing HIPS with ABS or PVA with PLA, so the two filaments would have very similar characteristics. It's ok if the printer doesn't know there's two different filaments, I can make it work by playing with the slicing settings.</p>

I believe the problem is not so much that the filament is sticking to the nozzle; it's that the filament is not sticking to the bed.
You've confirmed that you have correct clearance for the nozzle to bed distance. The next considerations are bed temperature and nozzle temperature. New brands often require new parameters.
Consider to raise the bed temperature 5 °C. If you're not using any adhesive medium, perhaps a bit of glue stick will help to have the filament stick better/properly.
It's unlikely that the nozzle temperature is incorrect, as too low would result in a nozzle clog, while too high would "drizzle out" and be everywhere, but don't reject too-high entirely.
If you can get the bed adhesion correct, your nozzle should remain clear.