No need to worry about finding bigger stock.
The design of this stand is extremely overbuilt for simplicity's sake (and the OP's protection.).
I'm currently working on plans for a modified clone of a Perfecto stand.
Structurally the 265g 7' long factory-made stand uses no top rail at all. Just a sheet of 3/4" plywood for the top with a couple of 8" wide 3/4" plywood legs at the corners and in the middle. (no nail strips or any additional corner bracing either)
There are 2 openings in the front, one of them 48" long with essentially nothing supporting it except the plywood top.
Since that is how a professional stand is engineered and built (which they require for the full 5yr warranty) you are very safe using a 2x4 top rail even if you chose not to add a center support.
*edit*
Rhodo beat me to it.
Thanks. I will use a centre support just incase

thanks