I found 4 seats on VA from LAX-BNE-LAX - you would have to see if you could add in the DFW-LAX/LAX-DFW segments:

You would use the DL miles to book (it looks like you would possibly have to move some miles into one of the accounts and book 2 separate PNRs) - You would have to work on getting the feeder flights added in.

Outbound
Fri 15 Jun 2012 11:55pm LAX to 7:00am BNE | Nonstop | VA 8 Business

Return
Mon 02 Jul 2012 | 11:15am BNE to 7:30am LAX | Nonstop | VA 7 Business

Miles required per passenger: 150,000
Total Miles required: 600,000

Ticket price per passenger including Taxes/Carrier-imposed Fees (USD): $ 904.50
Total purchase price including Taxes/Carrier-imposed Fees (USD) : $ 3618.00