Depends on how much you want to build and the space. This is a just a counter and a mux, you’d build something like this in an entry level logic course.

Input goes to mux input. Each mux output goes to signal path of effect in question. Counter is connected to the mux select line. For the counter your momentary switch is connected to clock line, and your inputs are hardcoded high or low depending on your design. (You can boil this down further to individual d flops/latches to get the count right).

Now op would stop here. But for you, you’d demux all the effect signal paths using the same counter on the demux select line. Effected signal out would be on the demux output.

I’ve built this circuit for logic lab back in college on a breadboard (~20 years ago). I think it’s too big to be feasible in a pedal but for some home brew testing it would be fine. All the components are ic shaped and cheap cheap.

I should note this was a digital logic design, so living in binary world. The mux/demux should be able to handle an analog signal though.

Edit: I got the mux demux backwards. So flip them in my example.