Jim, if you can't ramp your kiln at the rates specified, then I wouldn't use the cones. I use programmed rates.
I use 5 cones because I want to see at least one cone that stands totally unaffected by the heat. Cones are "interpretive", and you have to get used to them. So I want extra data. I "overbracket" the range. Two will puddle completely, one will slump, one droop at the very tip, one stand proud. 016-012 cones. Full ramp to 1250 then 108*F/hr after that to hold point at 1500 20 minutes. Then I open the kiln and yank the cones.
Still, the cones will only put you in range to 20-40 degrees, and it sounds like you want a really accurate number.
Personally, I use a second thermocouple/meter through a couple extra holes I drilled and periodically check with the cones as a teritary monitor. Simple paranoia.

I got burnt a number of years ago and only discovered my controller thermocouple's performance had degraded by the HRc of the blades and was reading higher than actual. It took me three blades to figure out my furnace had drifted 100F. Since then I monitor closely, and expect two probes to match within 20*F. No two probes read the same, even in the same position. I use only Omega probes and replace them when they don't match anymore.
Added: here's a cone chart, with their example. Their cone pic is an ideal, and it seldom comes out exactly that pretty.
http://www.bigceramicstore.com/Information/ConeChart.html