The only value to any of the means of using obscure hardware or software is in keeping the aliens from being immediatly familiar with commonly used technology. Take any machine with you and they’ll learn how it works. But that wouldn’t give them knowledge of someone’s PC or Enterprise server works. Presumably that might slow them down a little in their galactic credit card scam is.
The OP requires a computer as modern as possible, so the aliens will understand the level of technology no matter what hardware is used. If speed doesn’t matter, there are plenty of old CPUs that weren’t used in large numbers, and certainly aren’t used now for in a way that would help dominate mankind.
The software has to be customized to keep the aliens from learning anything about computer languages, tools, or common applications. But if only object code is present, it simply has to be obfuscated to remove patterns that would reveal the operation of a compiler. But they will still be able to learn how the code works.
So the only thing that matters is using a CPU with a general purpose instruction set, and custom software.