Melbo, I happen to be a locksmith and I use those locks all the time. They are called "Narrow Stile Deadlocks w/Mortise Cylinder" and are usually used on Store Front Doors, and on the back you have a "thumbturn cylinder". The mortise cylinders come in sizes: 1", 1-1/8", and "1-1/4". It's a good idea to use those, you just have to have the room (which you do with your door). The only thing you might want to add is a SPIN COLLAR on the outside (mortise cylinder), because without one you can put a wrench or pliers to it and spin that lock off of there and gain entry. If you go to a local locksmith shop they should have them there for you to buy. The COLLARS come in differrent thicknesses and finishes. It will depend on how much room you have to play with. The best thing would be to take the bus by the locksmith shop (if that's an option).
On my Eagle I used a Schlage Deadbolt, and I had to modify it just a bit.