Acutally, it's not really a Weatherby. Yes, it says weatherby, but it is made for Weatherby by a company called Howa. Weatherby just puts their name on it.
Is there any particular reason why you only plan on using iron sights? Granted, some people can use them quite accurately in military rifles, but I don't think that most of these factory rifles' iron sights are the best out there.
As for rifles, if it is a choice between those two, then I would opt for the Remington. First of all, I trust M700 actions. I should know - I own about 8 of them. Second, you stated that the rifle has a laminated stock. I prefer laminated stocks over traditional non-laminated stocks because they are less susceptible to warping due to temperature and mositure. I must admit that I didn't know that Remington offered the ADL with a laminated stock. Maybe it's a special Wal-Mart thing.
I don't think that Howa rifles are bad. Actually, I think that, for the money, they are a good value. It's just that I prefer the Remington M700 over the Howa any day.
As for the cartridge, I would opt for the .30-06 over the .300 Weatherby (and it is a weatherby mag, not a winchester mag.) It will kill everything you listed and then some. Plus, the ammo should be available just about everywhere, while .300 Weatherby mag ammo won't. Also, the .30-06 will be less expensive than than .300 Weatherby mag ammo - so you should consider this in the cost of the rifle over both the long and short term. In addition, the .300 Weatherby will kick substantially more than the .30-06.
I also suggest that you get a scope. Given that you like to use open sights (and I think that they are great for close shooting like hogs as you mentioned) you should look into quick detachable scope mounts. This way, you can use your scope for longer shots, and take the scope off and use your iron sights for closer shots. Quick detachable scope mounts will cost you a bit more than fixed scope mounts, but they are worth it.
As for a scope, keeping in mind that you are price conscious, I recommend a Bushnell Elite 3200 in a 3x-9x-40mm. It's a great scope for the money, and your intended purposes.
Zachary