When you say 2.2 kUSD do you mean $2,200.00 or $22,000.00?
In my locale, the installed figure is at or above $22,000 for a heat pump that is about $3,000 for the unit itself. On the other hand, an electric (no heat pump) hot water tank is $900 for the tank and $900 for the install.
I'd really like to have a plumber be able to install a mono block heat pump since the labour costs to install a heat pump look like highway robbery.