What Big5 facets correlate with practical sense? Which scientific reports can tell me about Big5 scores correlating with a practical, physical preference? 

Examples:

Traits: Practical, Realistic, Down-to-earth, Athletic, Handy, Prefers hands-on work, Problem solver, Focused on the real world

Interests:  Animals, Construction, Driving, Electricity, Hearing, Manual labor, Mechanics, Outdoors, Physical activities, Problem solving, Safety, Seeing, Sensing, Sports, Tangible things, Tasting, Tools, Transportation
As a starting point, you might be interested in studies that have related vocational preferences with personality. In particular, Holland's model of job preferences has been highly studied.

Practical sense sounds a little like the "realistic" dimension in Holland's framework.

Larson et al (2002) report a meta-analysis of the Big 5 and Holland's types.
Based on this meta-analysis, while there were correlations between the Big 5 and other types, there did not appear to be any strong (or even moderate) correlations between the realistic preference and the Big 5:



Note. based on n > 5,000.

References

Larson, L. M., Rottinghaus, P. J., &amp; Borgen, F. H. (2002). Meta-analyses of Big Six interests and Big Five personality factors. Journal of Vocational Behavior, 61(2), 217-239.