There is no reason to go with bigger pellets than what are needed to get the job done. Having a higher pellet count is very important
TSS # 2 shot maybe to big, TSS #3 shot would work great and TSS #4 shot maybe the perfect size for coyotes.
All of the loads below are at 1200 fps and weigh 1-1/2 oz.
TSS BB shot, 3.70" of gel penet at 166 yards, 47 pellets
TSS #2 shot, 3.70" of gel penet at 108 yards, 81 pellets
TSS #3 shot, 3.70" of gel penet at 89 yards, 100 pellets
TSS #4 shot, 3.70" of gel penet at 72 yards, 124 pellets
I like the looks of TSS #3 shot if there is such a thing. More than enough penetration and a high pellet count.
I would much rather shoot the TSS #4 shot than the TSS BB shot at coyotes.