This is the lvl route I made/used for 5x undead mage. Took me 13 days real time to get to lvl 60. 7 days something playtime.

1-10 tirisfal
10 uc - accept: https://classic.wowhead.com/quest=57...wer-to-destroy
10-14 silverpine (set hearth stone here)
14 silverpine - get wand: https://classic.wowhead.com/quest=99/arugals-folly (Prove Your Worth)
14 tb - accept: https://classic.wowhead.com/quest=962/serpentbloom
14 tb - accept: https://classic.wowhead.com/quest=57...e-lost-satchel
14 tb - accept: https://classic.wowhead.com/quest=57...nemys-strength
14-16 RFC
16 silverpine - get wand: https://classic.wowhead.com/quest=516/berens-peril
16 rachet - accept: https://classic.wowhead.com/quest=95...e-at-the-docks
16 wc - accept: https://classic.wowhead.com/quest=1486/deviate-hides
16 wc - accept: https://classic.wowhead.com/quest=14...te-eradication
16-22 WC
22 learn teleport orgrimmar/undercity
22-25 hillsbrad - get wand: https://classic.wowhead.com/quest=567/dangerous
25-30 RFK
30-35 SM
35 get mage quests at orgrimmar, then go to dustwallow
35-42 SM
42-48 ZF
48 (optonal) hinterlands - get cape: https://classicdb.ch/?quest=7861
48-52 SUNKEN TEMPLE
52-54 BRD
54-60 LBRS