For woods hunting, a lower power scope with a wide field of view is best. On my two .308 rifles I have Leupold 2x7 and 1x6.75 power scopes. On the lowest power setting they have a wide field of view and are very fast to use, On longer shots, they have all the magnification I need.
Are you only hunting in woods or do you hunt some fields too? If you are hunting strickly woods do you really need a scope or can you get by with iron sights? Judging from your location I would guess it's a lot like the way we hunt in south central New York. I agree with Old Professer stay with lower power scopes. I use use a Marlin Lever 30-30 with a Leupold 2-7x33 shotgun scope on it. I find the Heavy Duplex Retical is just right for woods shooting and small open fields.
Some good advice but I say never say never. I agree 100 % with the larger objective but I would say a 3X9X42. You keep it on 3 or 4 power when the shooting is thick and close. As the woods (fields?) open up you increase your magnification. That 308 will shoot a long way and if you get that once (maybe twice) in a lifetime 300yd shot that 9 power will come in handy.
When I hunt the big woods up in the Adk mts all my rifles that are scoped max out at 9 or 10 power and when I am on watch in the morning or evening I got the power cranked righ up. Just got to remember to lower it back down whey you are walking back to camp!
When calling coyotes, more often than not they will circle on a target they are
coming into and approach from the downwind side. Presumably they do this in
order to align what they smell, with what they are hearing.
This means that you should always have your downwind side camouflaged and have
an open shooting lane. If the area is heavily covered the coyote could come in
take a look and be gone, with you none the wiser.