You can weld the decking to the structural columns.
You can use SMAW with small diameter electrodes. E6013 or 7018 will work, both have shallow penetration characteristics. The will be a tendency to burn through the thin sheet steel if the welder lingers too long trying to get good fusion to the column. It will be a benefit to the welder if the edges of columns where the weld will be located were ground to bright metal to eliminate mill scale.
GMAW short circuiting could be used, but the low heat input would result in a strong tendency to produce incomplete fusion defects. Pulse spray would be a better choice (than short circuiting), but the equipment is much more expensive and it may be difficult to do in the field due to the need to use a shielding gas. The same issue with the shielding gas would be present with GMAW short circuiting transfer. A wind screen of some sort would minimize the problem of the shielding gas being blown away.
The success of such a venture would hinge on the skills of the welder. Welding thin to thick material is always a challenge, but it can be done with the right controls in place and as mentioned, skilled welders.
Best regards - Al