Neem on near ripe peaches - schedule?

We have an increasing japanese beetle problem. Our peaches are probably 2 weeks to ripe for some and 1 month out for others. I feel compelled to spray this year. I cant decide if neem will do it and if so what the harvest timing should be? Should i just do pyrethrin or sevin? We have some damage on peaches from birds. The damage has hardened over and my plan was to just cut it off (these are for personal use not sale). Previously we have grown with no spray but this looks like a lost cause and i dont want to lose my crop. Can anyone advise? 3 trees, each approx 8’ diameter 10’ tall