Deloitte wins hands down on ALL fronts.
You must remember that Accenture is an ITSI player - not a strategy house. Granted, neither is Deloitte - but their track record is far superior in Strategy 'type' work.
In Accenture BSI you will deal exclusively with technology, or technology coupled with intergration and / or outsourcing.
Do you have an offer from Deloitte? They have just separated thier strategy from thier operations unit ( before was S&O). If you do - thats a top job. Unless you can get into a top strat house, thats the second best thing in my opinion.
Good luck. Just realise what you will be doing in 3 years time. I suggest asking to speak with consultant level people on both sides - it will be a welcomed gesture of maturity.