I've heard about these mounts that can track things across the sky but isn't the thing about the north star is that it doesn't change position. Once pointed at it it should stay there for tens of thousands of years at least.
I think the telescope mount is probably best especially if you're trying to get it exactly lined up. To be clever, (you can find it anyway) but can't you point north and then based on your latitude go up a certain number of degrees maybe with a tripod that has degree markings. Likely not as exact as eyeballing it or being able to line it up on the dot or even hip firing.
Lastly zooming apparently doesn't help? and maybe the little lights inside the view finder with your settings are enough to prevent you seeing the stars, can they be turned off?
Assuming you don't want star trails (some people want them) then you could use an equatorial telescope mount (with appropriate dovetail bar to mount to the bottom of your camera), or you can use a tracking head that can mount to any photographic tripod. The tracking heads are typically more "portable" because equatorial telescope mounts that are motorized tend to be bulky and require their own tripod -- which tends to be much larger and heavier than a photo tripod.
If you use a telescope mount then it MUST be an "equatorial" mount (this is very important... you cannot use a alt/az tracking mount because they experience field-rotation and that will smear/blur the image. Such mounts are great for visual use with a telescope but no good for astrophotography.)
In "tracking heads", probably the favorite with respect to value for the money is the Sky Watcher "Star Adventurer" -- but you would want the "astro" package that includes the declination plate, counterweight bar and weight, and the tripod wedge. The whole kit will cost around $400. This is a fairly new product on the market (probably within the last year).
For around $300 there's the iOptron SkyTracker but the quality isn't as good as the Star Adventurer. The iOptron used to be the favorite based solely on price. The "Star Adventurer" is about the same price for the "photo" package, but a bit more for the "astro" package ... but this package is so much better that it would be foolish not to get it (if what you intend to do is astrophotos) and the quality is better (it can handle heavier loads, it's easier to use, it's got a better design, etc.)
At the high end there's the Losmandy StarLapse (that'll run around $600) and there are some accessories that could take that cost up to $900. Losmandy is a machine shop so this is a machine-tooled head and very high quality -- nothing is plastic or mass-produced (well... the handbox is plastic, but the head itself is all machined metal.) It can handle the most weight of all of the trackers. The StarLapse is technically just the "right ascension" drive for a Losmandy GM-8 telescope mount but Losmandy adapted it as a star tracker by eliminating the declination motor and replacing the normal telescope wedge with a design that can be mounted to a photo tripod. I have the Losmandy. It's rock solid.
You do need a sturdy/beefy photo tripod for these heads. This is not the time to skimp on tripod cost or try to get the lightest tripod you can find. You want something rock-solid that can handle the heavy load.