From
http://www.ddovault.com/cgi-bin/yabb2/YaBB.pl?num=1481171951/31#31Unless something has changed that I'm forgetting since those posts, a level 15 Shadar-Kai 13/1/1 Bard, Rogue, Barbarian would be the fastest possible runspeed for a Challenge farmer build. You get trapping skills as a bonus.
You could use qstaves but Swashbuckling is likely be more DPS. Also, you could go with 12/2/1 Bard, Rogue, Barb for evasion but you'd lose the two level 5 spells (Shadow Walk and Greater Heroism).
Bard gives you solid melee DPS, CC, Haste, DDoor, Heals, etc.
Sustained Runspeed Bonus = 69%
Source | | Type | | Percent |
Striding / Speed Gear | | Enhancement | | 30 |
Barbarian - Level 1 Class Bonus | | Fast Movement | | 10 |
Bard - Swash T2 Fast Movement | | Music | | 13 |
Bard - Warchanter Expeditious Chant | | Action Boost | | 15 |
Rogue - Acrobat T1 Fast Movement | | Fast Movement | | 1 |
Boosted Runspeed Bonus = 113%
Source | | Type | | Percent |
Bard - Bard Shadow Walk Spell | | Enhancement | | 40 |
Barbarian - Level 1 Class Bonus | | Fast Movement | | 10 |
Bard - Swash T2 Fast Movement | | Music | | 12 |
Bard - Warchanter Tier 2 Sprint AB | | Action Boost | | 50 |
Rogue - Acrobat T1 Fast Movement | | Fast Movement | | 1 |
Note that if you can't stand the pink haze from Shadow Walk, an extended Haste Spell gives you an extra 2% over the base 30% enhancement bonus plus the saves and attack speed buff. Your boosted runspeed would be 106.
An alternate option would be a PDK 10/4/1 Bard, Fighter, Barb. Take T5 in Swashbuckler instead of Warchanter and take tier 4 Fighter Stalwart Defense. You'll lose 9% sustained runspeed but gain a decent bit of defense and likely some melee DPS. Boosted runspeed would be 12% lower. APs might be tight for this at level 15 though. If my napkin math is correct, you'd need to level this version to 16 and get all 4 ranks from 16 for a total of 64 AP to fit in Sprint Boost from Bard Warchanter.