personally my choice for the QF would be
Barnard to replace Latham as the 'anchor' opener
Davies usual role
Hain/Mousley flexible to come in replacing either Barnard/Davies so if the designated quick-scorer gets out early Mousley comes in and if the anchor gets out Hain comes in for him. I personally think Mousley bats too high at 3 if the openers start well, if they do get a start we need to give Hain max time at the crease and shift him above Mousley in the order IMO. IMO we should and teams in general should be far less dogmatic and far more flexible in terms of batting orders but with Hain this season, having your best batsman at 4 and fairly consistently only having 10 overs to work with seems counter-intuitive to me.
Bethell
Garton
Booth
Lintott
Briggs
Taz Ali
Gleeson
Garton is obviously very high at 6 there (depending on circumstances i might even say bring Lintott in earlier than him and ask Lintott to play partner to whichever batsman is left in, and leave Garton to come in last c4 overs and slog for those short boundaries) but fitting Taz Ali in whilst still having 3 genuine seam options (and not Barnard as one of them) means something has to be sacrificed, and Booth and Lintott are coming into the game in very good touch with the bat and make up for that a little. Still its bowling-heavy and a bit batting-light but that's my preference.
what I suspect will happen is they will play Bethell as opener and he will swing himself off his feet trying to over-hit everything and Kai Smith will play, and I don't know if they will play Lintott or another seamer.
and I very much doubt they will play Taz Ali, I'd love to see him in there as an x-factor wicket taking option, not even necessary for him to bowl all 4 with the range of options we have in that lineup (3.5 seam 4 spin)