If your work place is a constant disaster it sends another silent message. On time, well organized and complete work is another good means of good visibility. Let your good work speak for itself and use it as a means of visibility. Another way is through sharing the credit when a good job is done. Get all members of the team good visibility.
Nobody likes a person that claims they did it all themselves.
Another good way to get visibility with upper management is volunteer to do extra work or join a committee. For instance help with the safety committee, quality committee, United Way, company picnic committee, Christmas Party committee, just to name a few. These committees are often chaired by upper level managers. Working on these type of committees provides you an opportunity to meet them and get to know them. Obtaining visibility for you and your coworkers is something that you must work on everyday.