。
This way feels more right.
Literal
This way [subj-が] fits-well do.
しっくりする is an expression meaning 'to fit well / feel right / click,' often used for aesthetic or intuitive judgments — clothes that match, words that capture a feeling, arrangements that look right. この方 here is 'this way / this option' (方 read as ほう), not 'this person.' A minimal, natural utterance.