I'm not a scientist, but being an art glassblower I know a little about refractories and crucibles. The highest temp insulation I'm aware of is graphite felt which melts above 5000f. As for crucibles, graphite and quartz both have hi temp ratings. I don't know if they are suitble for your hi-silica glass. I'd avoid platinum because of the $$$ if possible. I don't know about contamination, but there are high alumina castables rated to 3400f. National Refractories sells a 99% alumina castable called Kricron 34.
The guys above mentioned using H2-O2 or Moly elements. Just for curiosity, have you considered carbon arcs?
BTW, What size is "laboratory scale"? We art glass guys melt soda-lime glass at around 2300f in ceramic crucibles between 100-300 lbs. Science to us is mixing in metalic oxides to make pretty colors and adjusting the COE's to "fit" each other.
Good Luck,
Glenn