Yep. That is a slippery slope you are treading on. Searcher has a good point, which is go after both and whatever one you find a deal on, buy it. You'll end up with more. I imagine it will be easier to find the Colt than the Browning. Next will be the 1910, then maybe a Remington 51, then an old Savage 1915, next a Smith and Wesson 35, then you'll run across a deal on a Colt pocket 1908 that woud look great alongside the 1903, and hell, you might as well get an old Hsc, a PP, a Mauser 1934, an Fn 1900 and a 1922....
I know because I've been there.
If I had to choose, I would get the Colt first. Not that I think it is a better gun, but I simply like the lines better. I have three, one in a .32 and twp in .380, and all are great little shooters. I use a refinished one as a carry gun.
I don't know how much you know about the older stuff, but you've got good taste. Here are a couple of general guidelines about pricing and buying old guns.
Be sure to check the bore on those old classics. I've seen several that are excellent lookers, but the bore is so pitted and dark I would be scared to shoot it. If the old users didn't clean the guns after using the old corrosive ammo, the bore will be in bad shape.
Also, check to make sure the magazines are correct. Aftermarket magazines might function ok, but a collector would want the originals. If they are not correct, adjust the price accordingly.
Do your best to verify if the finish is original or redone. Even if it doesn't matter to you personally, it will affect the market price of the gun. I have friends who would prefer a worn, original gun to a super clean, beautifully refinished example.
Good luck on the hunt and let us see what you come up with.