Th Burris is fully multi-coated, which means that every lense in the optic system is coated on both sides of tbe lense. The Trophy scopes are multi-coated (not fully) which means that only one side of the internal lenses is coated, and both sides of the eye and objective lenses are coated. The Burris is probably going to be a bit brighter and clearer, but unless you've looked through a LOT of glass, you aren't going to be able to tell, more than likely.
$220 is WAY too high for the Burris FFII, I've seen them on ebay and at various places that sell scopes for as little as $159 new in the box. It's also too high for the Trophy, I've seen the 4x12 for $160 or so and I've seen the 6x18 in the $180 range quite a bit too.
What kind of gun are you putting it on? Are you only going to use the gun just for targets? If so, then I'd get a scope with the adjustable objective or one with a side turret parallax adjustment. Probably in the 4-12, 4.5-14 or 6x18 range, or even a fixed power scope of 10x or up.
Weaver makes a nice fixed 15x with an adjustable objective called the K15 in your price range, and you can get a Bushnell Elite 3200 10x scope with target turrets for around $200 or less too. A good variable power scope in your price range or for just a bit more would be the Nikon Buchmasters 4.5x14 (twice the scope of the Burris FF or the Trophy, IMO.)
There are a TON of guys on here who like the Mueller APV scope, it's a 4.5-14 too, with adjustable objective, for around $120 or so as well.