Hey again,
so I boxed the vero and also put some single ic adapter pins in the circuit so I still can make some little tweaks.
The good news is, the oscillation and noise problems are completely gone. Even the 47uF cap across the LM386 power pins isn't necessary anymore.
BUT ..there is still a kind of a noise gate in there when you hit the strings really hard and then mute them with your hand. The sound is completely gone for 1-2 seconds and then comes back in with a buzzing swelling noise.
It's really not dramatically and sometimes kind of useful but I want to get rid of that effect and the thing that bothers me most is that I have no idea why this phenomenon occurs.
I tried changing the chips, even replaced the LM386-1 with a -4 and -3, put bigger caps in the power supply, bypassed the 47R from +9V, ran it at 12V and changed some F and R values, but as the tone changes the noise gate is always there. I always thought that the LM308 maybe can't provide enough output to drive the LM386 correctly at low volumes/voltages, but as the muted guitar strings sound(typical pickup noise,..) comes in after a few seconds it shouldn't be that.
The only thing left that I can think of is that the LM386 usually drives a low impedance speaker, but in my case there is this a classic fender tone stack right behind of it. May that be a reason? But isn't the Acapulco Gold's LM386 also directly driving the high impedance input stage of your amp?
As you see I'm really lost with that problems and could really use some help

Maybe I find a way to upload some audio here, so you can hear exactly what i mean.