Copying a previous comment of mine:

I like a variation of the German system (not sure if it’s used everywhere in Germany though).

Keep the map and election as is, add seats to the chamber, once the results are in add MPs until the chamber is proportional, they’re selected by adding the party’s leader first then the candidates from their party that had the highest % of vote in their district then the next one and so on.

That means districts where first and second place were close would get two MPs which might swing the next election in the second place’s favour if they do a good job representing their district. It also means the party only gets to choose one of the MPs that are added this way (the leader), the other ones are chosen by the electors.

Someone added that the party leaders could even be added to the list of MPs separately, the moment there’s one MP elected for a party the leader is present in the chamber, otherwise the second a party has enough votes to have a seat it first goes to the leader. They would be there for the country, not a specific district.