I haven't seen a lot of LabVIEW neural network examples but you might check out the following tutorial on NI's website:
http://zone.ni.com/devzone/conceptd.nsf/webmain/60594267EA31F70E86256AE300813841?opendocument
As far as implementing a closed loop in LabVIEW, the while loop with shift registers is exactly the route you will want to take.