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This is a tough one. Most traditional houseplants are tropical and just can't take the cold. You probably would be best looking at outdoor plants that can make it in lower light. I am thinking English ivy or creeping juniper might work. Pachysandra may also work.

Some deer-resistant plants include various conifers, forsythia, lupine, yarrow, lamb’s ear, marigold, and delphinium. However, no matter what the plant, if a deer is very hungry, it will eat almost anything. This is why they say deer resistant rather than deer proof.

This article will suggest some deer resistant plants:

https://www.gardeningknowhow.com/plant-problems/pests/deer/deer-resistant-plants.htm

I would first recommend amending your clay soil. This article should help with that: https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/how-to-improve-clay-soil.htm

This article will provide ideas for trees that can withstand wet areas: https://www.gardeningknowhow.com/ornamental/trees/tgen/wet-soil-trees.htm

This article will give you some ideas for growing plants in sandy regions: https://www.gardeningknowhow.com/special/seaside/catch-the-wave-with-seaside-gardening.htm

You may also want to try amending the soil. This article will help you with that: https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/amending-sandy-soil.htm

Growing your plants in containers is also a good alternative, as long as the containers provide adequate drainage.

Lily-of-the-valley, lamb's ears, loosestrife, hostas, lungwort and coral bells all can take dry soil but still bloom in the shade.

Containers are an effective way to create privacy. These can consist of rows or layers. Many small trees and shrubs are well suited for potted environments. Alternatively, you could also choose a variety of tall-growing grasses, bamboos, and vines. This article should help: https://www.gardeningknowhow.com/special/spaces/plant-a-privacy-screen-plants-that-grow-fast-for-privacy.htm