Maay be completely off the boil here,but having ran lpg on severall straight sixes for over ten years,
had very similar problems with long tickover periods resulting in over fuelling,then a small lag till the cylinders cleared themselves,and similarly a problem at wot for long periods,
eventually got it running much better,by putting some sensible numbers in the map,but it never completely cured it, however after much experimentation we turned down the vapouriser pressure , then again did the numbers,reduced pressure again, and agin put differect numbers in the map,anyway after a lot of time doing this reached the best compromise we could and the car ran cleanly,all the way through,
except!!!
over 5.5k on track we found gains to be had by switching back to petrol, as you said the car does not spend its life doing above this limit,so even tough i was screaming around silverstone/castle combe etc
car always switched to petrol above 5.5k, eventually i learned to drive up to 5.5 then change gear just before the switch over,and believe it or not didnt lose much over a lap on times,with a 80 litre tank
70 litre approx of usable gas,it would give me around 26/27 mpg,admittedly my commute was from ardley to corby(69miles each way) everyday and back,but at normal speeds and the occasional blast to upset idiots in high power hot hatches,I was extremely pleased with it,did 129k in 3 years, now this was a romano system which had two rotary injection motors rather than injectors but im pretty sure the basics apply?
food for thought i hope!

edit,at the time I was paying 29.9 per litre form corby lpg centre

it was 35ppl in garages!