You register an AS and get a dedicated server [0] at at an internet exchange point (IXP) and install a BGP router on it. Your router advertises a route to the original route53 IP, with a shorter AS path to the target IP than the route advertised by the “real” Amazon router. You peer your router with at least one provider who peers with the real route53 servers (they accept your route advertisements).
Then you redirect incoming traffic on port 53 to a mitm dns proxy, where you either do nothing or return an IP address you control, which could be anywhere.
At the IP address you control, you run a transparent HTTP proxy that signs HTTPS responses with the valid DNS cert you obtained by spoofing MX replies in the dns proxy. You then either do nothing, or modify the page to return arbitrary content (like rewriting bitcoin addresses).
[0] or you get a VPS at a provider willing to advertise BGP routes on your behalf without validating them