Using project management during build season can be huge benefit to your team. You will see what areas are falling behind, who's lagging, who's dependent on who. Using Gant charts makes an excellent visual representation as well so everyone can see it, especially the time lines.
We have tried to teach project management so we can use it during build season for the reasons above. Unfortunately, most folks involved do not want to invest or spend the time to update their progress and tasks. This is especially true during build season when everyone is pressed for time.
If you can do it and accomplish it, then by all means do. It will be well worth it in the end. Additionally you will learn how and where to improve your teams efficiency, planning and scheduling, not only during build but even for other non build projects now and in the future.
My suggestion would be to assign a "Project Manager" who's job it is to gather the information and feedback from the others and keep the project management tool information up to date, since it is difficult to get the builders, etc.. to update it themselves.
This is how things get done in large organizations that require multiple teams and divisions to work independently and together to reach specific time constrained goals.
If you looking for an excellent open source project management tool check this one out.
http://www.dotproject.net/