I think Belichick's "tendency" to not want high picks is vastly overstated (not just here, I hear it everywhere). I think its pretty clear that he believes in value, both monetarily, and pick-wise. However, he also has shown that he does value the right players near the top of the draft. What he doesn't like to do is pay first round money to guys who have similar talent to guys who are second-rounders.
So it really depends on where the pick is, and the particular draft. If you look at the draft in a "tier" system, it is easier to see why they make these moves. Basically, each tier has so many players that score similarly when teams scout the players. Most drafts would have maybe 4 tiers in the first 2 rounds (note, I am just making these up to demonstrate...it varies a lot each year). Tier 1 would be the blue chip guys. Ussually around the first 3-5 picks, depending on the year. Tier 2 would be the guys with franchise talent, but aren't quite at the top of the list. It would ussually be something like picks 5-15. Tier 3 would be the rest of the first round quality picks, and sometimes only goes to #25, and sometimes goes to #45 (like last year). Then finally, tier 4 would be the remaining round 2 guys.
Last year, they had a high pick. However, they ended up being right at the top of the second tier. And particularly that high in the draft, each pick means a big difference in money. So they knew that they could get similar talent at 10 as they could at 8, and both pick up an extra asset, and pay him less money, so they traded down. However, if they traded down to say, 15, they may not have been able to get the same level of talent, and therefore would likely not have done that trade.
Next year (or 2011 I should say) will be no exception. While they may trade down a little, if they get a high pick, I expect them to keep a high pick. Of course it will all depend on who is available, but I do not expect to see them pass up talent.