Big Time Rush We Bang Way Too Much For Reality TV

6/15/2013 12:35 AM PDT

​Members of squeaky-clean Nickelodeon boy band Big Time Rush are banging like bunnies ... at least that's what they strongly suggested to our photog.

Our guy innocently asked Kendall Schmidt if the band would consider a reality show.  He laughed hard ... and then worried out loud that their fan base would not approve of their lifestyle.

The good news ... they're raunchy enough to get a sizable adult following.