The Lych Gate is very small so will be packed early especially with BH shoppers. It's not really an option for away fans, the Great Western is a much better bet if you really want to drink in Wolves
The Great Western is a decent ale house. They usually do grub but it is a Bank Holiday so might not on Friday. Away friendly too. Almost all the pubs in the town are not so welcoming unfortunately so it might be worth drinking in Birmingham beforehand - just an idea. Molineux is a 10-minute walk...