A FlyerTalk Posting Legend
Join Date: Sep 2009
Location: Minneapolis: DL DM charter 2.3MM
Programs: A3*Gold, SPG Plat, HyattDiamond, MarriottPP, LHW exAccess, ICI, Raffles Amb, NW PE MM, TWA Gold MM
Posts: 102,617
I'd go for business class as these are really good fares. OP will get lounge access, special lines, etc.
However, BA is oneworld while TG is *A so the FF miles and credit toward status could make a difference to the OP.