Q: 275 Is there a race with Favored Class: Monk? Or a feat like Extra Favored Class?
Yeah, there's a feat for the latter. Can't remember the name off the top of my head; I've never played in a game that actually enforced multiclass xp penalties.
I used to be in a group that only enforced the multiclass xp penalties, they made them worse. ESPECIALLY if you dared to play an elf that wasn't a wizard. That was one taboo that the DM would not accept whatsoever.
Check out the feats in the Complete Scoundrel and Adventurer. A lot of those allow you to multiclass with certain classes without any xp penalties. There's a few in the Dragon Magazines as well, so look up "Feats" at Crystal Keep, and check out "Feats Aiding Multiclassed Characters". If you're a half-elf, like a human you can take any class as your favoured, as well any half-human may take "Diverse Background" at 1st level only which allows you to take any class you choose as your favored. This is from Races of Destiny.
Then we start to get into other books, such as Forgotten Realms, which your DM may not allow because they usually require you to be from some region. I know just about every DM I've had always makes it mandatory for a person to be from that spot, of they can't get them. Again, check out Crystal Keep's feats, but be sure to talk to your DM after you've picked a handful you'd like to take.
Q274: Is there a class that advances both psionics and divine casting?
psionic theurge. it's from an online article.
A 274 there's a prestige called the Sanctified Mind, which is really cool. It's in the Lords of Madness book. However, you'll want to be a melee based character for a lot of its abilities to work in your favour.