Dredge is strong in a vacuum and a cheap deck, but with so many DRS and some decks having RIP in main I don't think it has a good chance in a tournament.I've been building 4 Color Loam and probably Manaless Dredge as a backup plan. Loam is about $1500 total, whereas Dredge is about... $80. I picked up a lot of Legacy staples in Atlanta myself, and quite a bit more with SCG credit.
You ought to be able to build Shardless for less than $2300, though. I realize it's one of the more expensive Legacy decks right now, and Underground Seas rape wallets, but 2k should still do it.
Of course you can always hope for lucky pairings.
Last time I played Loam I was on D&T, 1st turn mom, 2nd turn phyrexian revoker on his mox and the game seemed to end for the loam deck at that point. We both had very low mana but D&T just destroyed it. Loam is expensive for what is a T1.5 deck at best, imo.