Get yourself a moka pot, aeropress or French press. Fantastic coffee for very cheap.

Highly unlikely that 2-3 times a week will last though - either religiously stick to once a week or be open to drinking it daily.

I have a moka pot but I guess I am doing it wrong -- maybe I should not fill its coffee compartment to the brim? is there other way of doing it? -- because the coffee that gets out destroys me: heart palpitations, slight arrhythmia, headaches, and energy crash. I can't drink too much caffeine but light doses (i.e. the Americano) actually help me and energize me. It's really weird.

What's good about the aero-press and the French press btw? I am only just trying to understand the landscape.

I second either a moka pot or an AeroPress.

The moka pot would be better if you have easy access to cooking facilities (the stainless versions are also easier to clean, and work on induction).

The AeroPress would be better if you only have access to hot water.

As written above, coffee from moka pot absolutely destroys me. :(

It's too concentrated.

Moka pot coffee is definitely strong. If that's your only coffee maker, I'd just dilute that with more hot water.

An Aeropress is less concentrated in my experience, and it's pretty easy to use. I prefer iced coffee unless it's cold out, so I fill the collector with ice before I brew. The melted water dilutes it nicely, in my opinion.