Yes, it does sound like an excellent idea! Sometimes it becomes difficult to see things that need a little more or less correction because of looking at your own work for too long. And hopefully this is would get you some non-judgemental sets of eyeballs wanting everything to work really well.
Please consider having a "suggestion box" of some kind set up on the site for ideas that day in addition to anything that gets posted here. That will hopefully get things to your webmaster a little more quickly and lessen the load you at the same time.