James Wesley,
I thought some of your other readers might like this. It is a conversion kit that turns your Ruger 10/22 into a takedown rifle [1].
It is also is available in a short-barreled rifle (SBR) configuration [2]. [This requires a $200 Federal Transfer Tax, for U.S. residents.]
Either of these configurations could easily fit in a gym bag or backpack. – Adam P.