For classic Amigas you don't really have a better solution as they are too weak do decrypt modern security protocols without timeout errors.
With PPC and AmigaOS4+ you can run Odyssey browser, on MorphOS you even have a quite modern port called Wayfarer.
There is an option to provide a special proxy with adapted protocols for the Amiga part of your home network however.
Which is why I said I was surprised no one has adapted the open chromium (Edge and Chrome base engine) stuff to Amiga.. While a 68000 processor may not be able to handle the encryptions without time out, a 68020 with FPU/MMU should be able to do so.. But someone would have to port things to the Amiga in the first place.
Still too slow, not to mention the memory requirements.
