personally I’ve used schwalbe hurricanes but they will only stand light offroading – surprisingly good in dry conditions. brilliant on wet roads but mud is an absolute no-no.
used to know a guy who trekked with mtb pals on conti double fighters and reckoned they were okay but I never witnessed it first hand.
outside of my personal experience but reckon you ought to be looking at one of cyclocross crossover tyres such as racing ralph or kenda small block 8. at budget level, I notice that schwalbe land cruisers get good reviews for the type of use you would be putting them to