if you would like to brace the enclosure with materials you already have laying around...you can take your piece of MDF that fits like a divider would then swiss cheeze it....or cut out cosmetically pleasing and strategically placed holes to minimize the amount of material to decrease the amount of displacement and restricted air flow. Make the holes at least 3" when using a hole saw....or get creative and make shapes like a celic knot has in them....they look cool and as long as you cut them correctly they will have solid structure. If you cannot see the internal brace from any direction...the cosmetics do not matter at that point.
Also, if you would like to try to eliminate standing waves, insert small pieces roughly 2 1/2" wide by 3-4 inches long evenly or not so evenly spaced the length of the long walls of the enclosure...basically cut the 2 1/2" long side to a 45 deg. so they fill the corners of the enclosure but do not elimiate the entire air space. This will allow the sound waves to bouce off the corner instead of accumulating in the corners and causing a dead spot.
Just some food for thought