  Broad Absorption Line (BAL) QSOs have been suggested to be youthful
super-accretors based on their powerful radiatively driven absorbing outflows
and often reddened continua. To test this hypothesis, we observed near IR
spectra of the H$\beta$ region for 11 bright BAL QSOs at redshift z ~ 2. We
measured these and literature spectra for 6 BAL QSOs, 13 radio-loud and 7
radio-quiet non-BAL QSOs. Using the luminosity and H$\beta$ broad line width to
derive black hole mass and accretion rate, we find that both BAL and non-BAL
QSOs at z ~ 2 tend to have higher $L/L_{Edd}$ than those at low z -- probably a
result of selecting the brightest QSOs. However, we find that the high z QSOs,
in particular the BAL QSOs, have extremely strong Fe II and very weak [O III],
extending the inverse relationship found for low z QSOs. This suggests that,
even while radiating near $L_{Edd}$, the BAL QSOs have a more plentiful fuel
supply than non-BAL QSOs. Comparison with low z QSOs shows for the first time
that the inverse Fe II -- [O III] relationship is indeed related to
$L/L_{Edd}$, rather than black hole mass.
