I also got a laptop to add to the list of "close but not quite": Compaq Armada 1700.
With it's Pentium II 233 - 266MHz and ESS ES1869 it's perfectly suited for DOS gaming, and the Chips and Technologies 65535 is fine for most (if not all) newer DOS games. It's just that the scaling of the TFT is not ideal.
640x480 (or 640x400, I forgot) in Quake looks fine, even when seen from up close. DOS itself looks a bit rough when stretched (no smoothing of any kind), but for example with Doom the screen has two big black bars on the top and bottom. I guess it preserves the ratio of the screen which is good, but when sitting at a distance I'd rather have the option to have to whole screen filled.
Scaling can be disabled with Fn+T but that only adds more black bars obviously.
Untested but I also got the docking station with it which has a gameport/MPU-401 port, so that's also nice for gaming.
To clarify, my Armada 1700 has a TFT screen which, I think, is 13.3 inch and has a native resolution of 1024x768.
Am486 DX4 120MHz, no L2, 16MB, Tseng ET4000/W32 1MB VLB, ESS ES1869 /// 5x86 133MHz, 256kb L2, 64MB, S3 Virge/DX 4MB PCI, SB16 + Yucatan FX /// Pentium III 1GHz, 512MB, Asus V7700 64MB AGP, SB Live!