The only way that you are gonna be limitted by using these rifles is by packing the extra weight.And by them being a little slower for running shots.
I dont own a lightweight gun of any kind.And hunting coyotes is my favorite thing to do!!!
Do your stocks have bi pod swivells on them? If so then buy a tall enough bi pod to use when you're sitting. If not then get a pair of shooting sticks.
But i also shoot allot from the prone position while calling.But the shorter sage brush in my a/o allows me to do it.I would imagine that you have a set of bench rest bi pods correct? Affix them to your rifle and cary a set of shooting sticks with you to your sets.That way all shooting positions you might take(prone,sitting) are covered.
Heres a pic of one of the rifles i'm gonna use this year.
Hope this helps.