If you want great MT tires you will have poor road performance and fuel economy and likely dangerous winter driving.
If you want good performance on wet and icy roads and decent fuel economy and road noise, you will not get good mud and off road performance.
Most recommendations for AT tires are suitor of all, master of none. They’re a Chinese made 8’ 5wt fly rod. You will in turn, not be really pleased with the performance of your tires in ANY circumstances. IMHO this is the worst deal of all, as you will likely get stuck in mud, weak sidewalls mean punctures, compound means crap winter driving, and you will pay for fuel consumption the tires abilities does not warrant. Think about this.
I think there are three credible schools of thought -
1- tires like the Michelin cross climate or other slightly grabby all season road tires, and learn to drive them and deflate them for long footprints when needed. Most if used by skilled drivers will outperform an average off road driver with knobby tires who just hits GO and sends mud flying. If 80-90% of your driving is on the road or good tracks, this is sensible.
2. Buy proper MT tires and, again, learn to use them with your low box and in-de-flation. If most, or say 40-60% of your driving is on tracks, in mud, woods, farms, etc, this may be the best option - but don’t lie to yourself about how much time spent off road, most people say 30% of the time to justify AT/MT tires, but in reality it’s 2% of the time. Accept road noise, and drive really carefully in winter. 20k miles and replace them most likely. Accept up to 20% loss in fuel economy. Or!! ALSO buy a set of normal winter tires to put on when it get icy!! Or for long trips on bitumen. Ie, run 2-3 sets.
3. This is the grey area which I explored and will revert to again- as noted the tire like the Grabber X3 - fantastic off road in mud, rock, strong sidewalls, etc. compound means it’s safe and actually good on ice, wet roads and winter driving. Lasted me 65k miles for one set, although they cost £1200 for 5 tires. They are noisy, yes, but nothing like the humming of a MT tire, they reduced my fuel consumption from 600 miles per tank to 500. However, they outperform the AT category in that they actually really work off road and in mud, AND on snow and ice on bitumen. You will not hear many people recommend them on here, because they are unknown and expensive, so get few users. This is the danger of seeking advice, you will only get advice based on what is popular due to trends, and never steer away from the pack and explore something new, history always repeats itself
I chose to break away and try fishing on my own, and glad i did. Word of warning though, you will have pretty women throwing themselves at you with their tops off..screaming ‘are those Grabber X3’s’