Note: Whenever making any reasonable evaluation of anything but a REAL reskin (read: this does not actually exist in 99.9% of cases), you need to account for a time contingency for time spent trying to get the game 'fun'. This actually varies from project to project, from team to team, but as a general rule of thumb, I think it is safe to assume that 20+% of the entire time will be spent iterating on things you thought were what you wanted and ultimately aren't (and try something else).
So 20k won't give you a Chrono Trigger. I've actually made the effort of scoping a proper Chrono Trigger-like game, for which I would spend 0$ on programming (done by me) and level design (done by me) and 20k was largely exceeded on art alone.
However, a PS1 game could be done for 2-3M, and I think the 30M is no longer relevant for console development, though the vast majority of current gen AAA title probably spend well above 10M (and some games have pretty ridiculous numbers too).
If you're shooting for a PS1-like game but actually release on a simpler platform (say, PC/Steam), I wouldn't expect any less than 500k if you plan to outsource everything to 'others'.
Given where you seem to be, learning to code the game yourself may be out of immediate reach unless you're genuinely interested in turning this into a career.
Quick aside, I was actually approached by a teacher this week which was interested in a multiplayer 3D RTS game to show his class 'how its done' and he basically said 'would 25$ cut it?' and I had to say '25K$ would not even work'.
There is a gross misrepresentation of the value of modern engines. It is fairly easy to make a prototype of something, but very hard to make a game (20% of the work takes 80% of the time).
Would definitely recommend building a prototype to show either to potential investors or crowdfunding before moving further. This will both help with funding, and validate your game concept before sinking in more money than you'll ever have in your bank account.
You'll certainly find people around here that specialize in putting together prototypes for very cheap. *cough cough*
Best of luck!