Visa-free Travel Route on a Pakistani Passport

According to Wikipedia, there are a number of countries which allow Pakistanis visa-free travel, e-visa or visa on arrival. But none of those countries have direct flights from Pakistan and all the countries that you transit through require transit visa.

Also, I have been told that I cannot board a flight without a valid visa, although I suspect.

So, is there a way to travel visa-free from Pakistan (on a Pakistani passport) to any other country? I mean just book a flight (or multiple flights) and fly away, nothing else needed!

Edit 11 Aug

Actually, I don't really have any source showing that all the countries require transit visa, so I might be wrong about that.

I mean any kind of flights; direct or connect, any airline(s).

I am concerned that the airlines will ask for a visa before boarding the flight. Won't they? I cannot just book a flight and fly of to, let's say, Canada. There must be some visa-checking at some point. Wouldn't it be?

Jeju Island in South Korea has visa-free access. But the possible flight route with Qatar Airways will be from Pakistan to Doha to Seoul to Jeju. Will I be asked for a visa if board that flight?

In case of the Pacific nations, which don't require a visa, the transit route is through Hong Kong.