When John Lennon sang, “You tell me it's the institution, well, you know, you'd better free your mind instead,” was his response misinformation or simply a differing viewpoint?
OP, you asked us how to get Jerry tone on the cheap.
There are two elements to your question: Jerry tone; and cheap.
Don’t make the common mistake of making the perfect the enemy of the good and affordable.
For starters, keep experimenting with and adjusting the gear you already own. It's possible there's more already there for you than you currently know!
This being said, count me in with those who advise a MIM Strat into an MXR Micro Amp into a Blues Junior as a quite serviceable starting point. You can enjoy and gig Jerry’s music just fine with this rig as I've seen and heard others (like my late close friend and fellow Thankful Dads guitarist, Jim McLeod) do.
Lastly, never lose sight of the fact that Jerry himself wasn't copying others’ tones. He blazed his own trail and advised us to do the same: “Everybody has something to say. I really feel that you can’t avoid finding your own voice if you keep playing. You have a voice, whether you recognize it or not.” GP Oct. 1978.
Keep playing and best of luck to you in your quest.
P.S. In the spirit of "experimenting with what you already own," here’s an old clip of me using Line 6’s Tron Up model (inspired by the MuTron III) preceded by their Boost Comp model (inspired by the MXR Micro Amp). Purists will find thirteen reasons why the envelope filter sound isn’t sufficiently authentic but the audience ate it up and I had a blast.