Clean-Cold bore shots should be tested in as close as you can get to your usual hunting environment. That first shot can be #1 of a bug hole or 2" out of the group, depending on phase of the moon & how you hold your tongue - which is why you need to know.
Shooting rounds thru an already hot barrel is the quickest way to ruin a good barrel, period. You can monitor your barrel temp with a $15 IR thermometer from Harbor Freight, just be sure to check in the same place each time. If you can fry eggs on the barrel (or not leave your hand on it), it's way too hot! I will shoot until the barrel is getting hot to the touch, then run a patch damp with Hoppes (or similar) then pull the bolt and let the rifle cool down, which is where the IR thermo comes in handy. I seldom shoot one rifle, I usually have 2 or 3 with me so I can rotate them. Either that or just go back in the house & have cool one (soda, of course) while waiting, & maybe catch a couple UTube vids. Works great unless I fall asleep in my easy chair! There are definite advantages to having your own range in your backyard!
Cheers,
crkckr