Grippy 26" tyres?

[eckagain]

Can anyone recommend any decent "grippy" 26" tyres for my Winter Bike of Last Resort?
 
I have an old (1996) steel Marin Bear Valley* which I use when the roads can be a bit iffy round here. I'm currently running Schwalbe Marathons 26 x 1.25 (Not M Plus). They are bombproof but feel harsh and lack grip, even at low pressures, about 60psi. I suspect that the Marathons have quite a hard compound that wears well but contributes to the lack of grip.

Is there anything out there that might be more suitable? Obviously I can fit much wider tyres than the 1.25" that are on the bike just now.
Thanks for any suggestions.

* A vintage MTB. I used to use it when I did Bikeability training in local schools. One of the kids asked me, "Hey mister, did that used to be a mountain bike?" 

[Lightning Phil]

Have you considered Marathon 365 (like the Winter, just without the studs) ?

https://www.schwalbe.com/en/spike-reader/marathon-365

[eckagain]

Well Mr Phil, these look like the very chaps for me!

Meet all of my criteria?   
In stock? (SJS)             
Decent price?               

Thank you kindly for taking the time to reply.

[fruitcake]

Nowt wrong with that bike by the way. Perfectly good cro-mo frame! I did laugh though, at your child's comment.