OP,
I can't speak as to which phone works the best as a GPS but I thought I'd share how I use my iPhone and post the weights so you have something to compare it with.
Some background on how I use my phone. Often times my AT&T iPhone 4s is my primary camera (albeit not a great one). I'll leave it in airplane mode but occasionally turn that off just long enough to plot a GPS coordinate with Gaia. I leave it on 24/7 and never remove or disable the SIM card.
None of my backpacking trips were all that long last summer but after four days, I still had 1/2 charge left on my iPhone battery. My phone was less than a year old so the battery hasn't begun to deteriorate and still holds a charge fine. I purchased a Concept Green battery bank for no other reason that it was less than $20 at Fred Meyers.
.
Specs:
Capacity 3600 mAh
Output options:
1. 5V 1A (option I use for iPhone)
2. 5V 2A
3. 9V 1A
Weight for battery bank, iPhone charging cable, and bag 4.9oz.
With the iPhone 4s' battery rated capacity being 1400 mAh and allowing for 30% loss during transfer, I can fully charge my phone from empty almost twice (40 mAh short) in theory. In reality I don't know because I don't let my phone go completely dead before recharging it.
I've yet to take it on an extended trip this but at some point this winter, I'll forward my calls to my other phone and try to recreate the field environment by keeping this phone in airplane mode, take 50 photos and 10 videos per day, and plot seven grid coordinates per day to see just how far I can take this system. Based on my limited experience so far, I suspect it's in excess of 1.5 weeks. The reason I bring this up is that you can try this on your own and compare weights to see if you are better off keeping your iPhone than buying the Samsung or whatever