On our estate, we're not allowed trailers or caravans to be kept on our driveways.
God knows why, but it's a pain!!
To the OP, sorry i've got no idea! Anywhere that you can store caravans will probably store trailers too...it's just finding somewhere that stores caravans!
Alternatively, our farmer (and several farmers in my area) store caravans and trailers for about £4 per week. Might be worth going around your local farms and asking.