You should be fine with a 177, because they're symmetrical and they'll ski shorter that way.
As for boots, the difference is usually comfort, padding and shock absorption. "park" boots are usually big inside, comfy liners, and softer flexing. Think SPK or Agent 80. However, an Agent 110 (park/freeride), being the same shell as a Dragon 100 (all mountain) has few differences.
Other than that, it's not too different. If you find a non-park boot that fits great, don't be influenced to get a "park" boot that doesn't fit as well. Fit is the biggest factor.