Don't dispair. I have Crocker Hill in between me and the towers. Only 9+ miles away and had to put up a big honkin' antenna on the roof. I'm using the DirecTV HD DVR (HR10-250) for both DirecTV HD and the OTA HD (such as it is). It looks like you might be up a hill, which might help. I have a smaller Channel Master 3016 antenna if you might want to give it a try. It didn't quite work for me, thus the larger Winegard.
BTW, the waivers you do have are for the SD versions, right? I have waivers for all nets east and west in SD and the east coast HD ones. The reason I got the antenna was so that I hopefully can get WB (soon to be CW) and UPN (now MyNetwork) since they aren't available with DirecTV. Thus the need for Dish Superstations, which I'd like to drop to save a few bucks.
MYNetwork is a subchannel piggybacked on Fox 40 and I'm hoping that WBNG will do the same for The CW. Currently, The WB is cable only and The CW may be the same. I'm hoping that with Granite Broadcasting buying WBNG that might change.