My recommendation is to look for an Icom R71A or Kenwood R5000. These
receivers are high end table top units.
They were the top models in the 1980's and can easily out perform any
of the portables currently produced.
These units have excellent crystal filtering, and can take optional
narrow filters. They both have passband tuning and CW
notch filters, and are stable enough to listen to AM stations in ssb
mode (exalted carrier AM reception).

In SSB mode you can listen to either the upper or lower sideband of an
AM signal, whichever has the least amount of interference,
and make use of the narrow ssb filters and passband tuning to really
dig out those weak stations.

The IcomR71A and Kenwood R5000 are very reasonably priced, and have
excellent crystal filters with several optional
filters that can still be found. I've seen R71A's with all the
optional filters go for around $300.00, and units with the stock
filters for $200.00. The Kenwood R5000's go for a bit more. The build
quality of these units far exceed the plastic radios
being produced now a days.