Since a team point is not deducted for unsportsmanlike during a bout, you could say the 2 penalties offset each other, similarly to 2 football penalties*. In that case you revert to the original rule, first wrestler to score in the bout has choice.
However, an unsportsmanlike penalty call is weighed heavily when determining the team winner in tie match scores, so you could deem the unsportsmanlike penalty as being the more severe of the two, and award choice to the wrestler without the unsportsmanlike call. I think you would get more argument from a coach if you go that route in the absence of some clear direction from third source (other than me

) as a reference.The unsportsmanlike call warrants additional emphasis beyond a bout point, but who am I to enforce it that way in the absence authoritative direction.
If I was a rule interpreter preparing a checklist like the one from Kansas, I would add a line that clearly states, in the event of A have 2 timeouts and B an Unsportsmanlike penalty, at the end of UTB choice goes to the wrestler no having the sportsmanlike penalty.
My reasoning - unsportsmanlike is an intentional infraction where as you have to assume the 2 injury timeouts were legitimate needs and not intended by the wrestler.
*Even in situations where a basic penalty - offensive holding- and a severe penalty - defensive roughing the passer - negate each other and the down is replayed.