I'd love to be able to test a 60-250 one day, but what I paid for my Tamron 70-300 LD DI (80 dollars) is probably less than what you're paying for the rental of the 60-250...
I find that while the Tamron looks huge extended out and with the hood on, it's still pretty light so I can spend a couple of hours taking baseball shots with it with no problems. Even my A 70-210, although quite heavier, still isn't a problem. Both of these lenses can give good results based on my realistic expectations that I'll get professional shots out of them. But I set them at F8 and ISO 400 and with good light I get good shutter speeds and very clean images. I do like the old A lens better but the AF on the Tamron is needed for some types of shots.
Maybe you could post some of the pictures you got with the 60-250, so that I can see how much I'm missing by using my consumer zooms?
I'm especially interested because I've also been taking quite a few pictures of kids baseball.