Find a used Icom 7000 or something similar. Most HF radios can be made to sound good on both modes if you take the time to adjust the mic and power settings correctly. I have spoken to some on my Icom 746 on AM, and they were amazed at how well it sounded. I realize it's not an AM radio, but with some proper settings it does quite well. And it rocks on SSB.
Also I have talked on the kenwood 480sat on AM, and been told that is sounded just fine by some gents I didn't even know while out of town working with my boss. We had the radio setup in the camper he uses for extended stays. And we had a blast using it on both AM and SSB. Like I said, it all came down to setting it up correctly. With a good antenna setup, you really don't need much power to accomplish things. Just some food for thought. Not saying that HF radios are going to be as good as an AM radio, but if setup correctly they do work well. JMHO's. As for the Icom 7300, that is one sweet looking radio! And yes I am like you. An 11m freebander that uses an HF radio. Mostly on SSB, but I do occasionally get on AM with my old Icom 746. And that is with the stock mic as well. No eq's or outboard gear. Just the radio and my Sirio vector 4000. Does the job for me. Again, just some things to ponder on. If you ask enough and look around, I would think that you could find a radio to suit your needs for both AM and SSB use. But like they say. I'm just a cb'er, what do I know LOL!!!