When I hike, its almost exclusively with my trail gloves, they just provide so much flexibility, they are also super light weigh and quick to dry.
I'm a bit of a shoe lover though, so walk with what you have, when you NEED something different only buy it then, but you can get 500-1000 of miles out of your running shoes when you are just walking.
And funny enough, I recently switched to Asics from a lifetime of Brooks! But I still have both, and like both.
I experienced it once I started walking again, and learned quickly to rest it a couple of days before walking again. If you start out too eager and quickly, it's likely to happen - I was eager and walked too briskly and let me tell you that shit hurts. Even walking, I learned, is a physical activity to ease into.
I'm just now in this boat, so perhaps you can offer some advice. I have a bunch of running shoes, some brand new even. I'd hate for those to go to waste. Did you start walking in running shoes when you first transitioned? If so, were there any cons, where you wish you'd have just invested in walking shoes from the start?
(of course, I would donate the running shoes if I weren't going to use them, so they wouldn't truly go to waste, but I'd rather not have to shell out for new shoes if I don't have to)