Why not get an electric bike then? Reasonable price tag, will get you to work within a reasonable timeframe, significantly less congestion on roads, and charges with that renewable energy without using a lot of it.
Also, their point was that adding infrastructure for public transport (aka improving the public transport you're complaining about) will have a huge effect on reducing greenhouse gas emissions across a population and is more easily electrified. Your focus on an individual case is irrelevant to their argument.