Our boards tend to evolve overtime as we progress as a team. I tend to favour physical card boards if you have a collocated to team as it encourages better face to face communication generally from my experience. Obviously there is more overhead, but it's worth it to get the team working together. Another advantage I have seen with physical boards is that it helps with business engagement. Remote stakeholders can't just sign in and see progress within the current sprint and take things out of context as sometimes cards don't tell the full story. They have to have a conversation and come to the board which can be beneficial as things can get explained and it also means that they can be encouraged to help resolve with impediments. However this is not exclusive to physical boards but it helps.
As mentioned our boards evolve overtime with the teams needs. Often we start with textbook scrum, but encourage continuous improvement and usually end up with a scrumban solution. These changes are reflected by visualising the new workflow through the boards. I recently wrote a post on our latest change if your interested have a look at our hourglass scrum / Kanban board
I think the team should get involved in making the boards as it helps the team understand the workflow and not become silo's. Also if the team have had a hand in making the board they police their own processes better which helps with self organisation as it's a product they have had input to.
