Now what do I mean by random encounter? It means it would only happen maybe once every 30mins or so the gatherer would be greeted by a screen break reminiscent of old ff games on his next attempt at gathering at a node, it shouldn't be bypassable by d/cing or any other means.
Also a multiple random rotation of games would increase the difficultly of scripters finding a workaround; they needn't be complicated, even retro-like games such as space invaders, centipede should suffice, or maybe SE can use the old battle screens like :


or some thing newer like this SE licensed game: