First off, your body won't do any of these 70-200 lenses justice as it only has one cross af point and the center af point isn't even f2.8 sensitive if I'm correct.....I would not get a 70-200 with that body as my xsi has the same af system as yours and I find only the center af point to be close to 100% accurate every time, the other points are very hit or miss......
I'd suggest an 85 1.8 for indoor sports and eventually saving up and getting either, A. The 135L, or B. A Canon 70-200 F4 IS II.....the f2.8 version is better but considering it's $1,000 more I don't think the very slight increase in speed and bokeh is worth the $1,000 unless you're already a pro and you have the money to blow on it.
Of course I'd suggest getting a body that does that lens or the 135L justice eventually too such as a T4i with all cross af points or a 60D. Also the t4i and 60D both are capable of higher isos with less noise than your current body. From what I've read the 60D/7D can be used up to 6,400 iso and can still be cleaned up nicely and be excellent for large viewing on the internet and decent sized prints.
I am hoping that in 2013 Canon will introduce the 70d (combined 7d and 60d into a new model) Then i will spring for that one
In the meantime I think the t2i serves my needs well!
I have the 55-250 and I find it has pretty good IQ. I also like traveling with it because of the weight. If I were to invest in another zoom it would be mostly for the f2.8.