Kevin,
Sorry! I haven't been online for considerable time, my apologies. Our draw for railroading is VASTLY less than any flying model. I'd be talking through my hat if I were to be specific, but I cannot imagine anything we run could come even close to the limit of these LiPos. Of course a direct short is gonna fry any cell. You can expect to be closer to full current range when you are charging - and this is something to be careful with.
As you look at batteries online you should be able to find what the maximum rates are ('C' rating) My charger (Hitec brand, model X1AC) has a whole menu of choices for LiPo, NiCad, and Pb [lead] at 1, 2 and 3 cell rates as well as amperage levels. Fortunately it also has extensive instructions. Be SURE your charger is made for LiPo batteries - otherwise it can get dangerous.
When running, a good seat-of-the-pants check is to put your finger on the battery while you are testing, it should be ambient temperature even when running for a considerable time. If you want to be extra picky, after using your finger touch your lip to it. While these batteries can get fairly warm in R/C flight use and be perfectly normal - I don't expect you'll ever get there. Mine have not yet gotten above ambient.
Hope this helps
Terry