Marshall is a small residential area just to the north of the North Causeway. The area is heavily shaded with large older trees and homes to match. The area is next to both US-1 and A1A which both tend to be very busy highways from early morning until late into the night. Despite being this close to these main arteries, the residential areas are relatively quiet most of the time.
There are plenty of businesses along the highways that also bring a lot of vehicular and pedestrian traffic to the area. But, as long as you stick to walking your dog within the residential streets, the two of you should be fine.
If eating out is your thing, there are several places along the highways to eat and plenty more if you take the North Causeway over the Indian River North and to the beachside. You can find pet supply stores, grocery stores, and more all close to your home.
Living here means being in a nice, shady residential environment where most of the streets have sidewalks for the two of you to walk on. Keep in mind that the two highways to the west of you tend to be very busy and bring a lot of traffic to the area, especially during rush hours. Thankfully, the streets in Marshall are lined with sidewalks that will help keep you and your dog safe on your daily strolls.
A much better choice would be to go east to the river. There is a wide grass strip running from Wayne Avenue to the north down to Riverside Park. The grass makes a much better place for the two of you to walk. Not only does it mean your dog doesn't have to walk on paved surfaces that are hard on their paws, but you get to enjoy watching the boats on the water while both of you are getting in plenty of exercise.
The riverwalk is the closest thing to a green space nearby and it makes an excellent place for you and your dog to go for your strolls. But, if you don't mind a five-minute car ride, you and your pup can cruise over to the beach. The best time of day to use this area for your daily workout is early in the morning before it starts getting busy with both tourists and locals. Warmer months may necessitate that you seek out grassier options as the sand can get quite hot.
You can drive five minutes to the north on the North Dixie Freeway to the Spruce Creek Preserve. The preserve offers the two of you over 1,600 acres of Florida forests and swamps to explore on miles of trails. For the more ambitious or experienced dog walker and their pup, you can hike the six-mile round trip to Rose Bay.