You'll definitely be trading off some better specs by asking for a QWERTY keyboard. Taking quick glance through the Verizon selection, the DROID 4 is indeed your best choice for a QWERTY Android device. The device does have a dual-core processor, and has been noted for a decent build quality (always nice). However, there are notable disadvantages in terms of other hardware, with screen quality being said to be rather poor, while the non-replaceable battery yields less than satisfactory battery life, which can affect your usage because the dual-core processor will drain the power if even if you're simply texting all day.
If you really want the physical keyboard, get the DROID 4. If not, there are better options available for you, such as the aforementioned Galaxy Nexus.