A few things wrong here.
Biggio absolutely plays like a power hitter. He's a flyball heavy hitter, strikes out frequently, pulls the ball often, and walks a lot. Just because he runs well compared to most power hitters doesn't mean he has a slap hitter's skillset.
Biggio doesn't have great bat control, he has a great strike zone discipline which doesn't mean the same thing. He takes A LOT of pitches and is very selective at what he swings at, and as a result his contact rates are roughly league average and because he doesn't swing at balls he doesn't swing and miss too much. If Biggio were to swing more it's not a given he would have the same contact results, he likely would start swinging through pitches more, for better or worse. If he had great bat control he would 1) make contact a lot more often 2) strike out less.
Bunting is a lot harder than it seems. Biggio will probably start laying one down every now and then if teams like Tampa continue playing 4 OF alignments against him, but can he bunt successfully consistently enough to outweigh the given opportunity of taking a walk, getting a single or getting an XBH? Not a simple question to answer! Especially because we don't know if he's actually a capable bunter or not.