You will need superuser permissions for this one!
Grab a SSH server from Google Play. I use SSHDroid on my tablet and phone.
If you need to make changes to the system files (like, for instance, if you need to edit /etc/hosts) you’ll need to remount the drive as read-write. Type this:
mount -o remount,rw /system
Add whatever lines you need…
192.168.1.15 somesite.com.localhost www.somesite.com.localhost
And you should be able to connect your phone/tablet’s browser to your local development server.