Found the player-- he's an SP with an OVR of 79, headed for the mid 80s at least, patience 77.
It is my considered opinion that there is no way to make a player want to stay with you. The way to maximize his usefulness to your franchise is, and I'm sure you know all this:
1) Don't bring him up until he is an important piece of a playoff run. In this case, he's a stud, and you've already brought the previous owner's mess to .500, so it's time whenver you want.
2) Wait 21-25 days before you bring him up the first season.
3) Wait until his final arb to long-term him, and then sign him for 5 seasons regardless of how many he asks for, to maximize the number of season you control him for.
4) Be prepared to pay through the nose or collect the type A compensation after his 11th season. In his last season, hire ridiculously good pitching coaches throughout the organization in an effort to win the max contract battle. You're already in the best pitchers' park in the South, so you can't do any better there.