The tape you mention is quite important, I believe. Additionally to keeping the bugs out, it'll slow any rapid increases in humidity levels which mould can thrive on.
For the framing to be regarded as Archival, the print should have an acid free matt behind as well as being overmatted. Les' method of the matt sandwich is very convenient. Additionally, I add a foam board then use the brown tape to seal it all. The tape generally used for framing is quite expns, but readily available and Tayles Framing Supplies have the best prices I've found.
best, john.