All the old Tilly HL carbs I know of use an RK88-HL. What carb do you have on your 1-70? If it is an HL it should say something like HL63B on the top of the intake flange.
In my experience with old hr snowmobile carbs, I think a hr kit will work. Just because they don't list your specific model doesn't mean it will not work.
Quick search of that carb number shows RK88HL. Very common kit. Just pay attention to the needle and seat. There are variations, your kit needs to match the dimensions of the originals.