If I had one tip for producing this play it would be to remind students to believe the world and present the world as true. These are unique characters and they are far off the beaten path. But for them, their world is normal. That is what is so absurd about it all. Tweedle Dum and Tweedle Dee don’t wink at each other over the absurdness of Wonderland, it is their everyday life.
If actors "mug" or play up the silliness of their character it will lessen the impact, both on Alice and the audience. And besides, it’s so much more fun to believe in Wonderland!