10,000 SPG points a night is a bit expensive for the Aladdin. I've done it during expensive periods like New Year's Eve, but for a regular weekday stay, I'd definitely look at the Mandalay Bay for $99 a night or the Luxor for $109.
Of the three hotels, Mandalay Bay is the nicest - nicest rooms, nicest common areas, good restaurants, and a nice casino. At $99 a night, it's a bargain, and I would go for that option if it was me. It's only negative is that it's at the far south end of the strip; however, that's offset by a free tram that runs to the Luxor and Excalibur, so it's not too bad.
The Luxor is a good hotel-casino. The rooms are fair - the tower rooms are newer and in better shape; the pyramid rooms are nice, but a bit worn - you do have the novelty of a sloping wall and getting to use the "inclinators." The casino is rather worn and could use an update.
Aladdin is nice, but there's construction going on right now which limits the casino and common areas. The rooms are nice and not affected by the construction. The big advantage to the Aladdin is location. It's across the street from the Bellagio and right in the heart of the strip.
Given how many points it takes to stay at the Aladdin, I would definitely go with the Mandalay Bay or Luxor instead. $99 is a great deal for the Mandalay Bay, which would be my first choice.