There are several decent flux wire welders on Amazon, around $150~200. Look for 'inverter' and DC. I like my Amico 130A and have written reviews here and over on WeldingSite.
Review: Amico MIG-130A, 130 Amp Flux Wire Welder, 110/230V Dual Voltage. $149 on Amazon.
And there's one to avoid: HF's $125 AC-only flux welder. (Or any other AC-only wire welder). It's impossible for a novice to do acceptable work with AC. HF's $200 Titanium inverter welder is fine.
I don't see a problem with starting with a cheap stick welder.
I found stick easier to learn than wire. Reselling any welder that cost under $200, you won't lose very much of what you paid.
You might like to see my thread over on Muhammad's Weldingsite describing a beginner's progress:
My projects - farm repairs and minor fabrication