How big is the Syetem, ie is it for a 120/128 gig SSD using about 35->40 gig??
What Operating system.
If windows 7 and for a SSD using only 35->50 gigs. Can be done by simply using windows 7 backup function located in windows Control Panel. It will Image both the little 100 Meg system partion and the "C" drive. As to placing it directily on the USB thumbdrive you may have to formate it as Fat32 or NTSF (Not sure which). It will let you know as it will, or will not, come up as an available sourse drive.
If it does not, simply let it create it to the 2nd HDD and Copy to thumbdrive (AS LONG as it is smaller than the thumbdrive) and yes I've done this and used it to restore to An SSD.