As noted, I see at least 4 free tickets within what you already have in accounts. If you were to seriously consolidate them into any other mileage program, you'll end up with not enough miles total for a single free ticket.

one free ticket with Delta; two free tickets on AA with short-haul awards and one free ticket on UA with a short haul award.

Actually you might have two free tickets on AA without using short-haul awards. If you look at the DealWatch section on WebFlyer.com, there is a Miles Deals section and sometimes you'll often find special mileage awards on AA for as little as 7,500 miles and even 12,500 miles.

http://www.webflyer.com/deals/dealwatch/

The good news is that you really do have more than you thought you had - makes for a great day huh!

P.S. the bummer is that in the past you would have been only 5,000 miles away on a free ticket to Hawaii with your Delta miles. Ah, the good old days.