Of course there are ways around the problem (by demodulating a 90deg shifted signal with a second demodulator and adding both signals after the mixer so the image cancels out) but then again, long live simplicity!
There are hundreds of designs on the net for this kind of receiver, mostly circling around the same two core components, a NE602 mixer and an integrated audio amplifier. One of the more interesting was this one as it adds an audio CW filter.
What I do differently is that my input transformer is not tuned but wide band. The reason being that I use the receiver with my small loop antenna which is very selective by itself so there is no need for a tuned input.
I do have a problem though with feedback in the AF section which can produce a loud and annoying noise at times. I think I know where it comes from and I need to do some modifications to remedy. Once I am happy with the layout, I'll publish it here.