While waiting for the app to be approved...
Remote Server source code is now available at
https://github.com/mifki/dfremoteServer and installer/updater plugin binaries available at
http://build.mifki.comIn-app help repo
https://github.com/mifki/dfremote-ios-helpWhat price point did you submit it at?
USD 3.99
I've submitted it without iOS 7 support for now (so it's 8.3+). It seems to work fine on 7, but I want to test more because I can always add support for it but can't drop it if something goes wrong without causing unhappy thoughts.
Your internet speed shouldn't matter if you're playing on your local network, by the way (although it depends on a variety of other limiting factors, and I don't know if the client will support specifying a host on the local network).
Sure it does. You can connect either by IP/hostname or "published name" which should support most (the ones that can be supported theoretically) NAT configurations. With some home routers you'll need to specify both ip and name to access from local network and from outside.
Recently I've been playing a lot (that is, proper fort and not just testing individual functions) on 3G/4G connecting to a $5 DigitalOcean server in another country and for me personally it was completely comfortable. Some actions are bit annoying, like making 30 bedrooms, but it's more about keyboard vs touch interface than network speed probably.
Quickly start a server with Docker
docker run --name=df1 -dtp 1235:1235/udp mifki/dfremote
docker exec df1 ./dfhack-run remote pwd "YOUR_PWD_HERE"