Do you like white-haired dudes on dragons fighting other white-haired dudes on dragons? Well, that 'Dance of Dragons' bookmark might be of interest.

But no, really, it's the bookmark with the best Targaryan start, because there's plenty of dragons and plenty of Valyrian's to keep the royal blood pure.
On the other hand, Robert's Rebellion and/or A Clash Of Kings are all actually better in having families that, true to the books, are less likely to go extinct in twenty years, if only because there are more named characters spread around to make the dynasties more stable. There's less chance of, say, killing the only Foote male accidentally in a tourney and such. Also, some houses noted for their robustness, like the Umbers and the Crakehalls, tend to only have those traits in house members alive during the time of the books.