No, I wouldn't tank, for several reasons.
1. The team needs more than one top draftee, and you'd waste a valuable year for players like T. Smith, and others, who've given their sweat and blood to try and win, and have little time left to stick around while the team re-builds, either due to age of advancing physical decline. Better to develop the players you have and pick and choose where to upgrade.
2. It's not fair to the players, I do think most of them want to win, even if their primary reason for playing is money, if you decide to tank they know they will have to deal with losing games, and if you care at all for your players you can't do that.
3. No guarantee who you need will be available in the draft, there might be a top junior quarterback or left tackle or safety or defensive tackle, and he might decide to stick around in college for another year, now you're got to tank another year or take a player that's not in your best interest or need.
4. On a personal note, I have no "give up" in me, it goes against my basic nature, hate to lose even if it's my sports team of choice.