Digging into the website at http://www.aspca.org/about-us/policy-positions/hunting.html I found this:
Hunting
Because there is no guarantee that wildlife taken in sport hunting will be killed outright or spared the distress of pursuit and possible wounding and escape, the ASPCA is opposed to hunting animals for sport, even if the animals killed in this way are subsequently consumed. The ASPCA does recognize that wildlife management may be necessary in situations where animal and human interests collide, but urges that management strategies be nonlethal wherever possible and never include avoidable suffering or distress.
I don't think they are as militant as HSUS, but still anti hunting. The lady that runs the local chapter here is not an anti, but I know a lot (most) of the members are. I know a few guys who have adopted dogs from them that turned out to be good gun dogs though.