Leshan, Emeishan and QIngcheng Mountain are all nice choices. There are bullet trains from Chengdu to Qingchengshan. That is very fast and comfortable to travel. Many options for your Chengdu tour(https://www.travelchinaguide.com/package/chengdu.htm) can been seen here. That would be helpful for a guidance. For shopping area, Chunxi Road is a business center with many shopping places. You may stay there. As to a resonable place to stay, I think Garden City Hotel, which is 4 star hotel but price is suitable. 44-88USD.