Let's see... with the standard Reincarnate listing, there is....
an 83% chance of a PHB race (Dwarf, Elf, Gnome, Half-Elf, Half-Orc, Halfling, Human),
a 12% chance of an LA +0 non-PHB race (Orc, Kobold, Goblin),
a 4% chance of somthing with racial HD and a level adjustment (Bugbear, Gnoll, Lizardfolk, Troglodite),
and a 1% chance of a critter of complete DM fiat.
So basically, you've got a 95% chance of avoiding any and all LA and racial HD from Reincarnate.
What's really fun, though, it's that it's a young adult body, and your mind is mostly untouched; if you get Reincarnated just after hitting Venerable, you argueably keep the +3 to all mental stats (as they are unchanged) while losing the -6 to all physical stats (as it's a young adult body) from age... not that a high-level druid needs to worry about physical stat loss.