Most musicians use a wireless system because they are leaping around on a massive stage set.
For simply practising in your bedroom, stick with a jack to jack cable, guaranteed to work.
Or ditch the amp, which you admit you cannot hear it's subtle tones. Get an audio interface for your PC/Lappy, and save your neighbour the pain of your meanderings by using headphones. Cakewalk by Bandlab is a totally FREE DAW with loads of effects.