A 17 Rem is not picky to find a load for in my experience because it has no recoil. It is very easy to shoot accurately other than being a little light when shooting from the bench. I have shot one for over 35 years. I do not kill coyotes mainly because I am such a lousy coyote hunter, but I have made some really good shots on many varieties of small animals under 300 yards. I would not sell that gun for anything. It is just an old 700 BDL that Doc Ed re-crowned last year and adjusted the trigger for me, but the gun is just a lot of fun. It has no recoil but does make some noise.
I believe Varget is the powder of choice but I use 4064 because long ago that is the first powder I ever tried and it went under 0.5 MOA so that was good enough for me. You might find it to be ignition sensitive so you might try a few brands primers if you seem to get unexplained fliers every now and again. I also enjoy reloading the tiny little cases and bullets although one does get ones finger pinched frequently when inserting the bullet for seating (just call me Clumsy Carp here).
I do not find the gun to need cleaning any more than any other of my overbore guns. I do not find any difference in group size between Berger and Hornady.
P.S.
Bobcsat Trapper, I do not mean to be offensive, I am just reporting my experiences with my gun.