While I think you cannot go wrong with either a Game Changer or a Lupo I also think there are very viable options for you under the $100 mark Alex.I'm thinking there is indeed an upgrade in experience available around the $100 mark.
Vintage Gillettes pack a ton of punch if you get an Old Type (OC), English Postwar Tech (SB) or Flat Bottom Tech as well as the New Improved. But any Super Speed should accomplish the same goal. Compared to your DE89ish razors both Razorock razors have more blade gap as well as positive blade exposure. Absolutely nothing wrong with that - just something to bear in mind. The great thing about Razorock is that they are “adjustable” with all these different baseplates. And being in the US they certainly are competitively priced. Here in EU both are over the $100 mark.
Enjoy picking one out! And do give vintage a try - or not because it opens a rabbit hole the size of Jupiter!
Guido