Hi,
@PedantEngineer ,I stand corrected.
A MOSFET that will switch ON at 3.3V gate will need a site with a good parametric search.
A close look at characteristic curves of Vgs vs Rds(on) may be needed.
For example
NTD3055L170
IRLB8721PbF
This one is just about ideal, just need some steady hand soldering, SMD.
SQA410EJ file attached.
@PE suggestion of FDD8447 has a very good graph of Vgs and Rds(on)
and it is in an easy solderable package.
The normalized Rds(on) is about 10mOhms so by the graph at 3.3V, Rds(on) would be about 1.5 x 10 = 15mOhms.
Tom.... 
sqa410ej.pdf (220 KB)
695790.pdf (514 KB)