Avro Canada VZ-9 Avrocar
en.wikipedia.org
en.wikipedia.org
Video in the linked wikipedia page is too short, this one is better [2].
Yep, i wish some collector type (similar to car collecting Leno) spent some money building modern versions of at least some of the most successful/feasible models from the "wheel of VTOL misfortune" https://vtol.org/vstol/wheel.htm . Back then it seems to have been some kind of "Jurassic explosion" of VTOL innovation, and hopefully these days we're having some small renaissance of it.
10,000 ft (3,000 m) (estimated)
3 ft (0.91 m) (actual)1) Active control is standard fare on a ton of places these days - it's 'normal' for a military jet to be aerodynamically unstable.
2) 2000lb of combined thrust without melting the gauges? Check - better insulation, jet efficiency, and electric power all can help here.
3) Funding? C'mon Elon - you know you want one!