One stop east of Chang'an Street to the north of the West Railway Station (there is a Beijing Wuyou Hotel website that seemed to have seen other ones on it last time, and I am not sure)

Muxidi There is a basement hotel at the northeast exit of the subway station, which is relatively cheap (on the north side of the road, opposite the south side of the road is the Capital Museum)

This is not far from the West Station, just next to the Muxidi Subway Station on Line 1 Go up, 60--80 yuan

As for your snacks, there are many,

Beijing Food Street (to name a few)

1. Guijie- Active night food street

Features: Spicy crayfish, various hot pots, boiled fish

Transportation: Get off at Beixinqiao Station of Metro Line 5

2. Wangfu Jing, Donghuamen Food Street - Laozhong Taste

Features: local restaurants, traditional Beijing snacks, Western desserts, American fast food, exotic flavors

Transportation: Take 1, 4, No. 52, or get off at Wangfujing Station of Metro Line 1; take No. 104, 108, or 111 and get off at Dengshi West Exit Station

3. An Street Food Street-Jiuyuan Beijing Taste

Features: Palace Palace Stews and Beijing dishes

Transportation: Take Route 13, 113, or 118 and get off at Dongsi Shitiao Station