Bag of Holding with a bottle of air?
Or maybe, maybe Mr. Scuffy is More Than He Appears.
That's what fly spells are for. Or break out a bow yourself. A good Strength bow is pretty cheap and a full BAB type who hasn't actually tanked his Dex should be able to hit things while not as good as a dedicated archer at least half decently. All that strength means it will hurt when it hits.
You're not playing to your strengths, but then neither is an archer in a crowded hall way, all those soft cover untyped bonuses to AC add up fast, or a Medium mounted character just about anywhere but an open plain.