I live in Pittsburgh, so I can't actually say if any of the hotels are bike-friendly or not. Train arrival and departure times are rather terrible here.
Closest mid-line hotels are:
Hampton Inn, 1247 Smallman Street, Pittsburgh, PA (412) 288-4350 is about 0.2 miles away. Courtyard by Marriott, 945 Penn Avenue, Pittsburgh, PA (412) 434-5551 is about 0.3 miles away. Give 'em a call and see what they say about bikes. There's a Westin and Omni close by, as well, if that's more in your price range.