Choosing a powder is one of the harder things for a beginning reloader to do. I will also agree that the most manuals don't really help you out very much in picking the optimum powder. You are lucky that the .223 is a cartridge that works well with a variety of powders. Only in recent years has it expanded to use the heavier 62+ grain bullets via fast-twist barrels, adding another dimension to picking a good powder - and that doesn't make it any easier!
I like to look at several reloading sources and manuals. Some of them point out certain powders that they feel are good "accuracy" powders. That is a help. An example is the Nosler manual that lists H-335 as the "Most Accurate Powder Tested" on their .223 55-grain bullet page.
I normally look at the powders that give the better, or higher velocities in several manuals for the bullet weight I'm interested in. Or to put it another way - a powder that is capable of delivering top velocities in the weight if you choose. Certain powders are more suited to certain bullet weights. For example, I consider RL15 with 60+ .223 bullets, but H-335 with 40-55 grainers because those are the ranges in which they shine. That would be a good choice, and it has been for me personally. These powders that top the velocity list normally have a decent pressure curve and have a high load density.
I like to see if the powders that look interesting are listed in more than one manual. This is an indication that it has common usage in that caliber/weight. There are some good powders that aren't listed everywhere however - there are so many new powders and some manuals just arbitrarily pick a certain few to list 10-15 perhaps.
I also like to check around in magazine articles and online to see which powders work well. A good powder works well for a lot of people. For example: I never have tried BL-C2, but I have read, seen online, and heard from various people that it is a good powder choice. Recently I shot some reloads with BL-C2 and it lived up to its rep. In your case RL15 would fall into the same category. Many more people here use RL15 with success than RL10X.
I like to study the physical characteristics of the powder. For example, if I desire a powder that is easy to meter, I will look at the ball powders or an extruded powder with a very short grain structure. So IMR 3031 may be listed, but I would pick RL15 over it for metering.
In recent years there has been an effort to make powders both cleaner burning and temperature insensitive. Both of these are very positive traits, so when the choice narrows, cleanliness and the ability to deliver the same full velocity when it is cold in the winter as it does in the summer may be an important consideration. Ramshot, Hodgdon Extreme, and certain Alliant powders like RL15 have one or both of these traits.
And yes, a chronograph really is a nice tool for working up a load - pay more attention to the maximum velocity listed in the manuals (the more sources the better) for the particular bullet weight/powder combination and stop when you reach that velocity. You will find this is a more accurate indicator of pressure than most other methods. You may use slightly more or less of a charge to reach that velocity due to factors relating to your particular rifle, powder lot etc., but rest assured that there are no "magic barrels" that will give another 100 fps at safe maximum pressure.