I was making the same decision a few months ago. I handled both. I went Bighorn. They both do the same thing, pretty much the same features, just executed slightly differently, none noticably better than the other. The thing is that the Bighorn has cheaper swappable bolt heads for caliber conversion. It also costs less initially, and imo, looks nicer. I say Bighorn costs less "initially" because Mausingfields now come with a DLC coating at no additional cost, so if you want to DLC coat your Bighorn, the price becomes a wash.
I've shot Bighorns before, but I haven't had any experience with mine yet because I'm still waiting on my barrel. Once I get it though, I plan to shoot the crap out of it.
One thing I should mention, is that I do find the Bighorn to be a little more "grabby/draggy" than some other actions (including the MF) when running the bolt at odd angles. Not a problem if you run the bolt correctly, and not really a practical problem, it's just something I've found while playin' around with it. Not too concerned. Bolt lift on the Bighorn I think is one of the lightest I've felt.