you gotta find what works best for you. there's no right or wrong training method. everybody's different. i typically train with a 2 day on, one off method, but i'm now only training 3 times a week.
yea, it is sometimes typical to work with antagonist muscle groups, but this is not necessarily "best." again, the same argument. you can also work like with like, and work triceps w chest to get a double w/o for triceps, but you wouldnt have to work triceps as intensely.