The Thunderbird is a tamed version of this.
The Explorer has the same pickups as the thunderbird but in different locations.
The Explorer is set neck, usually korina for the body and mahogany for the neck
The neck is one piece so you'll need to be careful as the bit behind the nut is the weakest part of it. On the thunderbird they use a scarf joint which is much stronger.
Cases are almost impossible to find but one solution I saw over on the Epiphone forum is to use a double rifle case. You can actually pick one up cheaper on Ebay than it would cost you for a regular case.
Nut width varies between 1.5" to 1.7" and I've seen various other sizes quoted as well.
They're £240 new from Thomann and Epiphones don't hold their value as well as Fenders, especially now for whatever reason, so you could probably get one anywhere from £120 to £160.
They are very long so, just like with the Thunderbird, you will need to change your style slightly.
I've had my Thunderbird for a few months and it feels entirely normal to me.
One last thing - get a Comfort Strap or similar to help reduce the neck dive