As Roy said, the rule for an RFA who's been given a qualifying offer is 2 years minimum, unless that player has been given a maximum qualifying offer, in which case the minimum another team could offer is three years. Furthermore, a player option does not count as a year on the deal, so you can't offer a 1+1 sort of deal. You can offer a 2+1.
If there's an RFA that you want to sign to a large deal that his old team won't accept, the best offer you can make is the 2+1 Dallas gave Parsons. Remember that the cap is projected to spike in both 2016 and again in 2017, so a player with such an offer this year could dip his toes into free agency for an even bigger offer in 2017 than he could get in 2016.
Still the best choice, especially with the impending cap spike, is to negotiate a sign-and-trade with the player's original team, if you really want him.
The one exception of note is KJ McDaniels. The Rockets will have very limited ability to match an offer for him, since he's a 1-year RFA, and so the Gilbert Arenas rule does not apply. This is the same situation that cost us Stiemsma a few years back.