I’m glad your neighbor will happily take him! It’s hard to get rid of the boys sometimes. RIR do seem to be assertive and usually the group in charge, but those roosters are just gorgeous!
I have had roosters of various breeds and a few mutts in my time. There isn’t really a particular breed that always has nice roosters, it’s really the luck of the draw vs what you want from your flock. The best rooster I’ve ever had was hatched and raised by my flock of only girls and he was a Naked Neck.
Some roosters will have no problem with being handled per what I’ve read here, but that has never been my experience. Also, they really hate it when the ladies are touched by anyone but them, so I check them over at night when they roost. Anything to keep the peace!