First of all, there is no 100% solution, given the facts, 22-250 on bobcat.
The "high velocity light bullet staying inside" theory is not reliable. Especially at the stated ranges.
Normal weights for that caliber 52/55 grain, can cause a lot of damage.
If your gun can handle it, I would agree with 50, use a heavier bullet with the plan being that it won't open up on such a lightly constructed animal. Myself, I use 65 grain bullets that always exit. A well placed shot should leave a half dollar exit, but if you hit major bones, you will wreck a pelt. No guarantees.
As an experiment, one year, I used 40 grain Sierra Hornet bullets in a 220 Swift. In a heavy rifle, from a rest where you can aim very precisely, I was making head shots that didn't exit. That load was bad on the barrel and brass, but it did work, more often than not.
The subject of harvesting fur with a centerfire caliber is very controversial. Some claim that 14 or 17 caliber is the answer, but there will be problems, no matter which direction you go. Mainly, you have to decline those shots that will not put the animal down, or will hit the shoulder, causing splash wounds and a runner.
I've been doing this for a long time and don't have an answer. I have come to believe that the first consideration is to kill the animal dead, and cross your fingers when it comes to damage. At this point in my education, my theory is heavy, well constructed bullets, carefully placed.
Good luck, LB