I've never grown cucumbers in the same container with snow peas or sugar snap peas. I have, however grown other cucubrits, specifically vining tatume squash in the same container (16-20 inch planter pot) with snow peas and sugar snap peas. That worked out well, but I planted the seeds for the squash when the peas were full grown and poducing.

Peas (Snow Peas and Sugar Snap peas) should be direct seeded in the garden, and should grow in the garden even now. I planted mine back around March 7. They will weather frost and/or snow. I guess that's why they call them Snow Peas. If you plant by the moon, Peas (and tomatoes and peppers) are best sown the week approaching a full moon, after first quarter.

Cucumbers and squash are best planted the week after the new moon, approaching first quarter, and I plan on planting mine the middle of next week. Cukes also tolerate a bit of frost in the first 2 to 4 weeks. I'm zone 7(b) here, northern Georgia, last frost date is mid April.

If you grow either in containers, plant the seeds directly in a large planter pot. I use 16 inch or 20 inch round pots. I use hanging planters with trellis nets for the vines to grow up. You can get about 1 pea plant per inch of diameter, placing them about 3 inches apart around the outer edge. For cukes or other vining squash, 3 to 5 plants around the planter. When I've combined, I place those in from the edge, half way in from where the peas are planted.

Cukes and squash are "heavy feeders" and need a lot of fertilizing to thrive and produce. I apply about a "month's dose" of organic fertilizer (from the label for the size pot I'm using) every two weeks for squash plants in a container.

I would not. The cuke leaves alone will overshadow the sugar snaps. The sugars snaps are also more delicate. They don't get as big. Once the cucumbers start climbing they take over their area. They have different heat tolerances as well.