They could have fitted the whole ring / tape / mouse assembly into a small paper bag Aragorn could have kept it in his jacket and fed it little bits of lembas on the way how lovely x
It's both an iron will and a life goal that isn't really susceptible to corruption. The ring takes the thing you want most and connects itself to that in your mind, twisting your goals to accomplish what it wants.
I'm not really certain what value being temporarily invisible has when all you want to do is garden. Hell, I don't even think a giant army or conquering the whole world would help either. Just means a more overwhelming garden, which defeats the point.
I mean that's the reason Hobbits in general can withstand the Ring longer than any other race of Middle Earth. They just want a quiet life without any fuss and that's pretty much the opposite of what the Ring can promise them.
Ring: I can make you rich!
Hobbit: Eh, than my cousins will pester me all day.