They could get the 367, although it would be their second highest 2nd innings chase ever, so very, very unlikely, especially against our bowling line up.
We could throw the bat around for half an hour, but I'd rather give them an unlikely, but possible total to start chasing down, then we'd have a better chance of taking wickets and winning the game, but if we put on 50 in half an hour, that means that they would shut up shop from the start and a draw would be the most likely outcome.
I also think that Freddie and the team would fancy their chances of getting them out as well, we're a pretty attacking set up now and I'd back them to get the win as well.