There are many problems you must overcome:
1) Inherent size problems even using the A600 motherboard
2) Lots of electronics you will need to make to interface to the LCD panel and the battery power supply
3) How slow a 68000 Amiga is (man it is!!)
4) How expensive and hot 68020/030 accelerators are for the A600
5) How crap ECS workbench looks
A more practical solution would be a software one. See if an x86 laptop that boots directly into E-UAE will meet your needs?
If you go for the REAL Amiga solution, I implore you to consider using a CD32 as the base motherboard to solve 3 out of 5 of the above problems.