i am wondering from where you have the Baidu Client information.
1) I Checked their webpage ( http://help.baidu.com/question?prod_en=master&class=Baiduspider&id=1000973 ) what IP's they are using.
This result in 188.8.131.52/24 when i looked into my handhshake protocol i could not confirm your definition.
2) I captured some data from this ip range and provide you here the pcap's.
3) I also have an capture of http from the same ip rang ( https://suche.org/net/baidu-http.pcap ) that show it is an also acording to user agent an baidu spider.
- NO SNI