I had the same symptoms in a trailer I had a number of years ago. The problem only occurred when we camped above 6 or 7 thousand feet. The reduced air density at elevation resulted in the sail switch not being engaged, and not opening the propane valve. The blower fan would run for a few minutes and then shut off.
This should be simple to check. You can force the sail switch to close by just holding it. If the furnace lights off while holding the sail switch closed, you have found the problem. If the furnace doesn't light, then you need to look else where.
I identified my problem as the sail switch failing to completely close. My solution was to increase the area of the sail switch by folding some heavy duty aluminum foil around the sail to increase it's area.
Some systems are designed and developed to work well at or near sea level, and are not tested at 7 or 8 thousand feet.