Springfield Armory Inc. (SAI) has a few different versions of M1A's out there....
Socom16
Scout
Standard
Loaded
(Just to name a few)
Remington model 700's have a vast list of different versions.
Here is another example concerning weight comparisons......
An M1A Scout will weigh less than a Remington Model 700P. ( Both without optics ). Unlike the 700P, the M1A sports iron sights, and is ready to go right out of the box.
Depending on any magazine capacity restrictions in your state....... a 20rd topped off M14 magazine weighs out to 1.5lbs exact.
If optics are planned for either, be advised that the M1A Scout/Socom16/II versions sport fwd mounted rails to use "scout" scopes. If optics are to be mounted over the receiver, then you will need a receiver mount for an M1A.
ARMS18, Sadlak, and Bassett mounts for a few examples.
Unlike some semiauto's, an M1A with a std gas system can use any type of ammunition as a REM700 can.....once the spindle valve is closed. (Subsonic ammunition for example)
Other notes:
REM 700's bbl lengths are between 20 to 26 inches.
SAI M1A bbl lengths are 22, 18, and 16 inches respectively.
Both have std/sporter, medium, and heavy bbl contours depending on what your after.
Any versions of SAI M1A or REM 700 has the inherent precision for hunting deer at 100/200 yards via your mentioned distances.
Accuracy while in the field after deer has more to do with the shooter imo. Some folks may find the 700 to shoot better while in their mitts, while others prefer the M1A.
As far as I know, Remington doesn't have a model that sports iron sights any longer in the 700 lineup, but I haven't really looked as of late either. So......all or most versions will need an optic before one has a chance to outshoot any rifle with iron sights.
I prefer the M1A/M14 (18in bbl) for use as a hunting tool, and have long since sold off my "dedicated" bolt action hunting rifles......too include the Model 700 and 7. ( Especially when hunting hogs)
(Coyote, hog, deer, bear, and elk so far.)
Iron sights as well as optics.