Too be honest, a single race party isn't going to be significantly different from a mixed race party, as the effect of race on a character's abilities is rather minor in this game.
On the other hand, a single *class* party could get interesting. I haven't played the game (other than the tutorial and doing some tests), but I suspect that the easiest class for this might be Cleric. (I suspect that you *might* need the Use Magic Device on some characters, but fortunately the game lets you level up cross-class skills.) Good luck trying this with classes like Rogue (good luck dealing with undead and other sneak-attack immune enemies), Bard (probably the weakest class overall), or Sorcerer or Wizard (either class is extremely vulnerable, though at least you can have fun playing with all the spells the game offers).
(Of note, some people have done single class challenges in other games (Final Fantasy Tactics being an example).)
One more thing I should point out: A single race party is probably suitable for a first time player. A single class party is *not*.