It depends what website you are using for how shallow positions are. I use Yahoo! and it was widely believed that LW was the shallowest position. Yahoo recently added a lot more dual possition eligable players which really boosted the LW ranks. I can't find the list right now and I'm a bit to lazy to look for it but J.Staal, Sharp, Semin, and Doan all became LW eligable players.
Drafting LW's early won't give you the advantage it once did. I would say you don't want to get past the 6th round without 2 solid goalies. Also since this is your first time drafting out of a points only league be sure to keep an eye on the other stats that forwards can get. PIM, Hits, BS, SOG etc. Winning blocked shots will end up giving you just as many points as winning goals, so in the later rounds don't be afraid to pass on a 60 point player and grab a 50 point player who could get you an extra 30 PIM and 20 hits.
2010-2011 League Champion
2012-2013 Runner Up
ROTO
2C, 2LW, 2RW, 4D, 2,G | G, A, PPP, +/-, PIM, BS, W, GAA, SV%
C: Getzlaf, Backstrom
LW: Hall, Tlusty
RW: Malkin, Lupul
D: Ehrhoff, Del Zotto, Enstrom, Carle
G: Holtby, Smith
Bench: Faulk, Druoin, MacKinnon, Brodin, S. Mason, Bernier
H2H Keeper League [5F, 1D, 1F/D 1G]
2013 - 3rd
2C, 2LW, 2RW, 4D,1 Ult, 1 G -H2H Daily Start - G, A, +/-, Hits, BS, PPP, SHP - W, SV, GAA, SO
F:Tavares, Landeskog, E.Kane, Backes, Yakupov, RNH/Kesler
D: Green/OEL
G: Rask