For Path Riding?
I might not choose a fixed gear for riding pedestrian or multi-use paths, just because you'll have the potential for quite a few stops and starts. I guess that the thick slick + freewheel might offer a bit more versatility.
You say nothing about your bike riding experience. You also say nothing about whether or not you can assess whether either of these options fits you right. So...it's a little hard to recommend.
I ride fixed with my wife sometimes. Frankly, it's okay if I let her lead on the flats or descending, because I can scrub off speed as necessary to match her. For climbing, it gets brutal lagging safely behind because she climbs at a pace that doesn't suit where I'd like to be (cadence wise) with my fixed gearing. It's a bit of a struggle, but I keep my mouth shut and give her a hearty "great job" at the crest of each longish hill.
Are you sure that you don't want a fitness hybrid type bike? With gears?
TL,DR: Buy the one that fits you best. All else equal, take the one that offers you a flip flop hub and wider tires.