Drainage layer doesn't do anything for drainage because water doesn't like to move between the different mediums. Just use one kind of soil all the way down.
Gallon could be good to start but I would expect a ficus or elm to fill them up within a season outdoors. Maybe an Anderson flat after that?
Drainage layer comment is true, the "need for a drainage layer" is one of the bigger bogus myths perpetuated in bonsai literature.
So is a "coarse drainage layer" at the bottom, actually worse than just having the same soil type all the way down? I have been doing a drainage layer of rock just because I ran out of mesh and all my pots have holes too large for any type of bonsai soil.
Take the time to get some mesh to cover your drainage holes. The plastic mesh backing available at craft shops for making hooked rugs and wall hangings is available at every Michael's and other craft shops (Hobby Lobby, etc) there is probably one of these types of stores in a nearby town. Window screen will even work in a pinch. I've used a layer of 1/4 inch hardware cloth with a layer of window screen on top. Using rocks and creating drainage layers is a hold over from 19th century British gardening books, written before window screen and other mesh products were inexpensive. Creating layers of different particle size in a pot will inhibit the movement of water from one layer to the other. It can create real problems. Fortunately, usually pretty quickly the layers that one takes time to create, get mixed the first time the pot is flooded with water, especially if any of the particles have enough air voids that they will float. This mixing then reduces the amount of air voids in the potting media. The more uniform the particle size for a potting mix, the better the air penetration and water movement will be easier. A box full of marbles will hold more air than a box full of bowling balls, marbles and sand. A mix with large differences in particle sizes can become very dense, with little air penetration and be difficult to get water to penetrate.
On the original topic of training pot size.
Nearly all bonsai pots for trees less than 1.5 meters tall (trees under roughly 4 feet tall) the bonsai pots are less than 4 inches or 10 centimeters in depth. You will not find "off the shelf" bonsai pots much deeper than 4 inches, except for pots intended for cascade style trees. Cascade pots can be very deep, I have one that is 5 inches in diameter and 2 feet in height. I don't have a serious enough cascade for that one, ....yet.
Given the shallow nature of bonsai pots for upright and slanting styles, training pots will serve you better if they are equally shallow. I do not use pots deeper than 5 inches for this reason. An Anderson flat that is 16 x 16 x 5 inches deep with a mesh bottom is my favorite training pot. It holds roughly 3 gallons, or 12 liters of potting media. You can fill it all the way up or you can use it only partially filled.
What is the right size pot to use? Generally you want room for roots to add an entire season's worth of growth in the horizontal dimensions. You also want the pot to go from wet to barely moist within a week or two.
There are no hard and fast "rules", the training pot should be at least 2 inches larger in diameter than the roots. If the pot is drying out quicker than your normal ability to get out there and water it, then the pot is too small. If the media is staying moist for more than 2 weeks, the pot is too large. That's pretty much it.