Hiya Mare

A quick answer would be to try a slightly different solution. Rather than looking for a moisturiser with richer oils, try adding a serum underneath instead. Let me explain...
What I think you might be needing is to add some hydration to your skin. That's the way of replenishing the water within the skin cells. When skin is dry, it looses this water (for various reasons) and the skin cells shrivel up and get dry, flakey etc which causes skin to get sore, red, itchy, etc. Our skin produces sebum, that's your natural skin oils, and that is there to seal in the water inside the skin cells. Think of it like the water-proof coating! It's a protective layer to help slow down the rate at which the surface skin cells dry out.
A moisturiser usually has a mix of oil and 'water'. That adds a little hydration back and also adds some extra oil on to the surface to help seal it in. Dry skin cells soak it up, plump up / firm up and stay that way until the oily protective layer wears off (sort of, over simplified way of saying it).
If you just use a moisturiser, or a gelled oil moisturiser, you are adding a protective layer on to skin which is already lacking water, so it won't 'do much' to help - it can't hold water in the cells when the water is already lacking! So use a serum first on clean skin - that replaces the missing cell waters (hydration) and then add a moisturiser / gelled oil on top to trap that hydration inside.... and that should make a significant improvement. Once it's balanced, you can fine tune your choices adding in extra things that each different serum and moisturiser offers.
The SN serums are rich in nutrients that don't just add hydration but also help to retain it. I'd recommend starting with the Green Tea and Aloe Serum because I believe that to be the gentlest on sensitive skin and least likely to have additional 'extra' ingredients that may potentially irritate delicate skin. 2-4 drops smoothed over the skin (or as much as it wants) followed by a simple moisturiser. I'd recommend continuing to try Jojoba or Hemp to start with (Raspberry also has a lot of fans) alongside the serum, or Daily Defense if that suits you. That'll give a direct comparison to show what adding a serum can do.
Good luck.