I use the 8.562 SE navcore for my TomTom ONE v1 and it works very fast, smooth, with no lag. Download it here:
8.562 SE Navcore for 32Mb ONE models
If you install the 8.562 SE navcore, you can use the 4055 map you tried before. Use FastActivate Premium to activate the map.
For more detailed instructions, read the Tutorials section.