+1 for Intel NUC, I have a mid-range with i5 processor. I agree i7 is expensive overkill, but an i3 is possibly the lower ideal limit. Much depends on camera, but with the price of megapixel cameras falling, you might want a little 'oomph' in reserve to process their huge amounts of high resolution data (see later).
But do note power requirements. Mine runs best at 19v and it requires a peak of around 40+ Watts. If running at merely 12V you hence need more Amp Hours than a typical battery pack will provide (or the battery will run out fast). Hence, I used a MaxOak K2 at 20v for that and a seperate 12v Tracer for camera and focusser.
However, having got everything running wholly wirelessly with Intel NUC at the scope over Windows Remote Desktop I then realised that my laptop (indoors) was inferior to the NUC (outdoors) - plus I had a few nuisance performance issues (lag, stutter etc). Yes, it works (but can be flakey), however, TeamViewer or Windows Remote Desktop won't convey my Atik Horizons (exceeding) 4K 'UHD' output and then magically display it in that native resolution on a limited 1080p 'HD' laptop screen! Obvious really, but I didn't initially make the connection.
After much experimentation with various wireless and wired combinations, I now use Celestron direct WiFi to control the scope and my MKIT20-WL focusser's direct WiFi. By using different devices/connectivity (e.g. not over my network) I have eliminated the performance issues.
I now have a single USB3.0 'active' cable from camera to Intel NUC that is now located indoors. The NUC is then connected to a 4K UHD external monitor using its 'Thunderbolt' display port. The EAA image quality is (inevitably) superior to that appearing on my inferior 1080p "HD" monitor. The incremental gain has a price that many won't pay, but there are unexpected benefits.
Another issue was I use Hyperstar. That's fast (1.9/f); offers a huge FOV, but that costs magnification (as you remove your secondary mirror). Whilst short exposures to produce similar results means that you then don't need polar alignment or autoguiding, you do need camera <zoom>. It's inevitably much better to use <zoom> with a high resolution camera outputting to a high resolution graphics card and then to the highest resolution monitor available within your budget. Wireless or USB2.0 can be far more limiting than USB3.0. Also, running USB2.0 devices alongside USB3.0 devices (in my experience) won't always play nicely hence the performance challenges.
In summary, don't become obsessed (as I did) with having everything running on a Windows 10 laptop with limited 1080p screen. The NUC's graphics capability is far greater than most laptops and how long before you upgrade your TV to 4K UHD given 'UHD' prices will tumble with the next generation beyond 16 megapixel becoming available? Aim to match camera with computer with display device. Your display device might be your most limiting factor! Bet that's the last thing you consider until reading this post.