Before you get too excited, BA is the last airline you'd want to fly using miles especially if you want Business Class. Not only is BA Business Class one of the worst Business Class products in the sky, BA charges positively obscene fees for the privilege and a fee to select seats in advance. BA even screws you on Economy awards fees.
For 2 pax, one way...
• SFO-Rome in AA Economy: 60,000 miles and $11.20
• SFO-Rome in BA Economy: 60,000 miles and $505.00
• SFO-Rome in AA Business Class: 115,000 miles and $11.20
• SFO-Rome in BA Business Class: 115,000 miles and $1,220.00