You can construct a Senet board with the tiles, using the brown side for most spaces and the green side with symbols for the special spaces. The egyptians used 4 throwing sticks instead of dice, and you can mimic the probabilities for each result by composing a deck consisting of three 1's, six 2's, three 3's, one 4 and one 5. Then randomly draw from this deck to move, and reshuffle with every draw.
Suggested rules: http://www.gamecabinet.com/history/Senet.html
Wikipedia: https://en.wikipedia.org/wiki/Senet