Is the continued search for a suitable wife, and the accompanying boredom, with the aim of choosing a mother for my children, considered forbidden or unlawful in Sharia?

The issue of marriage is important and requires careful consideration and reflection. A righteous woman is the best worldly possession. It has been reported that a believer gains nothing better after the fear of Allah than a righteous wife. If your intention is chastity through lawful means, Allah will assist you. Continue your search and do not rush. Beware of being alone with girls, speaking with them in a way that incites temptation, touching them, or looking at them in a way that is unlawful.