michaelsm:
The first is that these controllers seem to only output about 35mA
re-read the data sheet
the max supply voltage is 2A and the source I have is 10A.
re-read your post
I believe that these could be powered from the Arduino 5v output,
please do not use pronouns. 'these' refers to the what ? the L298 driver or your motors ?
if you think you can power EITHER from a 5v output from the Arduino, buy a LOT of Adruinos to replace the ones you burn up. or use a marker and write on the wall above your monitor NEVER POWER MOTORS FROM THE ARDUINO. you can CONTROL them all day. Great application, but POWER ? very bad thing to do.
MAKE A SKETCH - a schematic. make sure you have it in your head how things connect.
when you plug in your toaster, you have a potential of gigawatts of power, you are connected directly to the main turbines that produce enough power for a few cities. but, the LOAD can only use so much. there are lots of safeties between you and the power plant, but none are needed as your toaster can only use what it can use, not what is available.
you have a 10 amp power supply, connect a 1k ohm resistor and an LED and it will use a few milliAmps.
your L298 can deliver over an amp, and your motors are tiny, not sure where 'larger' comes in on from the subject line. what is troubling is that you have jumbled up some things. I would HIGHLY recommend you post links to your motors. there might be other things in those data sheets that would help to properly set things properly.
as a note, when you have a device, it alone will consume power. maybe a few microAmps, maybe a few watts... but it will consume power. the thing it drives will consume power.
in your case, you have an Arduino, an L298 and a motor. you really are only concerned about the motor, but... when calculating the total load, one has to include the tiny power consumed by the Arduino and the L298 board. the data sheet will note these things, you have to figure out what the data sheet is saying. if it is the chip power consumption or if it is the load power consumption.