The models were built by Magicam, Apogee added extra detailing.
I've seen pics of the RG kits. The E has heavy grid lines all over it, not just the saucer. The D7 isn't so bad, it looks like the one Greg Jein made for DS9.
If you want an E for a simple build, maybe the 22in cut-away kit would work. No grid lines, but the two piece cut-away hull needs to be glued together. But I've seen some great builds with this kit, and the size is nice too.
The Round 2 repop of the old AMT kit also has no grid lines. Lots of upgrade parts are available for both kits.