A good 120GB SSD would cost you around 120 bucks. The one I recommend in particular should be $129 on Newegg.
Simple answer, no. Vanilla Skyrim would be capable on the 650m, but anything else will start to be laggy at 1080p. The 670Mx is closer to the desktop chip than the other non X variants as it has most all of its shaders. Try to remember, that mobile GPUs are highly cut down to perform within their thermal and power envelope. A regular 670m is closer to something like a Geforce 560.
I would not consider the 635 or 7730 as they are both too low power.
The difference in price between the Dell and Asus 17" laptops is simply because the 670Mx is that much more powerful. It'll be capable of maxing almost anything out for a while. If you can't afford an SSD then don't worry about it but I highly recommend getting one later on. The GPU power alone is worth using a slow HDD for a while.
To see a comparison difference.
"Resolution is just a number." #Ubisoft Origin/Steam
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