For PC races in a DL game I'd go with:
Humans
Half-elves
Qualinesti Elves only. Kagonesti if you really want the "high v. wood elf" thing. Save the Silvanesti and aquatic elves for npcs. And, correct, there are no drow (thanks gods).
Hill or Mountain Dwarves only. Gully dwarves are cutesy and, yes, canonical and iconical DL, but they are so stupid as to make a viable PC nearly impossible.
Kender. Of course.
Tinker Gnomes only. I don't know/remember anything about "Mad" gnomes, but they, similarly, don't sound like "good for PC" material.
Minotaurs. I guess ya gotta.
...if you're doing a 5e conversion and really want to have "5e elements" in it, I could see reskinning Dragonborn as metallic half-dragons. Draconians are mentioned in the PHB, but they are, decidedly evil -and not necessarily free-willed- creatures. So for a PC DL Dragonborn, I'd go with metallic half-dragons.
Classes:
Barbarians: I would require these to be human warriors from the "barbarian tribesmen" of Riverwind and Goldmoon.
Clerics.
Druids. I don't really know anything about them in Krynn, but I don't see the harm in having them.
Fighters.
Mages (wizards): Mages of High Sorcery: White, Red or Black robed. I wouldn't even deal with renegade mages for PCs...to start. If one becomes one through play, that's an avenue to explore in game. But have them start immersed in the world.
Monks: I don't recall whom, but there was a deity of Krynn that had monasteries of monks...I want to say the a copper mantis was the holy symbol...It has been, for my as well, a VERY long time since reading the Chronicles and Legends trilogies.
Paladins: with clerics coming into the game, paladins can be right there too and/or you can fluff certain Knights of Solomnia as paladins in the "cause/honor/ideals" sense rather than the actual gods/spellcasting sense.
Rangers.
Rogues.
Mages
White Robes: Abjuration, Conjuration, Divination, Enchantment, Evocation, Transmutation.
Red Robes: Abjuration, Conjuration, Divination, Enchantment, Evocation, Illusion.
Black Robes: Abjuraton, Conjuration, Divination, Evocation, Transmutation, Necromancy.