I know you didn't mean that but it's in fact not a horrible strategy given the way things currently work, so long as you're not punting top 5 picks.
Here's what I mean:
Say a team plans to blow out it's J2 pool (3-8 top end - (call it 5) guys) and expects to be limited in future years and they are picking 10th in the draft. It would put that team in a position to take an unsignable player (assuming they don't see something they really, really like) at 10 and ~45 and ~90 this year, then sign their 5 international top end guys. Then next year when they are limited on J2, they go into the draft with maybe 2 first round picks and 2 seconds and 2 thirds, assuming no competitive balance picks or comp picks for FA - call it a 5, 11, 42, 46, 80, 91.
A lot of the strategy would be with timing as well. Assume you know that you're headed for a rebuild like the Giants but you've got enough non tradeable veterans that drive your record to only 10th worst leading into your rebuild year. You finish off your previous window's death throws and pick 10th, but you know you're about to tear it down for a rebuild. Then you go hard J2, punt the current draft, then the next year concentrate on the draft with a ton of picks (helped by the tear down leading into a rebuild), then second year concentrate on the draft fueled by any picks from previous draft that didn't sign, then third year (after two year J2 limitations) your back on heavy J2 AND heavy draft (your payroll is low at this time), 5th year you go heavy on FA signings to fill in the holes leading into your opening window but don't give away any picks. At any time, if you run across a "gotta have him pick" then you take him. But you're not locked into a draft or else philosophy.