If you are literally spending one night in Beijing between landing at PEK and train the next morning, I'd still recommend staying in the Chang'an/Wangfujing, Financial Street or other near-west side area vs anything on the East/CBD side.

But if you are first going to be in Beijing for a few days before going to Shijiazhuang, and have lots of business on the CBD side, or in University/Zhongguancun area, etc. then I'd stay near where the majority of your business will be, and then just taxi to the Beijing West area of town and leave a bit earlier. Shouldn't be too much of an issue if your train is scheduled for 8:00 am or earlier, meaning you should be at the station by around 45 minutes beforehand to do the walking and get through security and to boarding area. (Assuming you already have train ticket and don't need to queue to purchase.)

Just take a taxi from the official queue from PEK to your selected hotel.