Primitives have wide pelvises, so often carry a larger lamb easily enough, though it's usually recommended to use a primitive or similar for their first lambing.
Unfortunately it is not as straightforward as you suggest to breed the shedding through, we had some soay x Hebridean, which as primitive sheep as well, one might expect it to be easier to retain the shedding coat, but only a few could be rooed, with some difficulty (compared to my rather odd mule x texel who shed the last two years and the fleece rooed very easily away from the undercoat) and the rest resorted to the default of needing shorn.
By all means experiment, but don't expect all your crosses to retain the ability to shed.