Clay is great, especially when mixed with other things, like organic matter! It is the best soil texture for holding onto nutrients. Your beds, being raised, will already drain much better than the surrounding soil, which balances out clay's weak point, which is that it's heavy and can tend to waterlogging and going anaerobic. But your plan to put logs in the bottom is great, definitely go with that. They will hold onto
water, and guard against the sometimes excessive good drainage provided by raised beds. I would sprinkle a large variety of textures and thicknesses of organic materials throughout the beds, with the texture getting finer and more shredded as you move towards the top. This will complement and lighten the clay.
Do plan for settling over a period of years. The more (wonderful, marvellous) organic matter you include, the more it will settle. So make sure you have or plant an abundant source of additional organic matter to help you top the soil level up every year. Logs may take a time to start to break down in volume significantly. I filled my raised beds with
hay and straw, and in one season, the soil level sunk to less than half its original height, so I was unexpectedly on the prowl for many, many cubic meters of soil and organic matter to top the beds up.
Good luck and post photos if you can!!