If I was called to answer this question six months ago, I think my answer would have been very different. Today, it’s this. You’re not going to find your perfect rooster by looking at breeds.
Seeing as you free range, your priorities are quite different from one that keeps their chickens in a coop 24/7. Your birds forage in (what I’m assuming is) a much larger area than a standard run, much more diverse in both flora and fauna, including predators. Any male’s top priority should be his hens, which might or might not let him further his genes. Securing a territory, food and nest sites for his hens, and looking out for potential predator attacks(*).
The best rooster for a free range setting is the one that your hens pick to lead and breed with. Most of the times they have better judgement than us. What is best for your needs and most importantly, your hen’s needs might not be what’s easiest for a human to deal with. I won’t be the one to tell you what you can/should and can’t/shouldn’t handle.
This is an excellent article to help you better understand roosters and cockerels, especially when working in a free range environment.
https://www.backyardchickens.com/articles/understanding-your-rooster.75056/
*Going after predators is not the smartest choice; those interactions often lead to the death of the rooster, who leaves behind a very exposed group of hens.