mmmmm,.... normal operation will see the fan come on, with blowing cold air "warming" as the furnace ignites. AND,... as the room warms to temp, the flame will extinguish, while the blower continues to cool the system for a bit. So coming on and blowing cold for a few minutes is normal,.... not warming up, or staying on blowing cold air, is a problem. And I'd suspect your igniter may need cleaning or likely replacement. Manually shutting it down and turning on again, forces a safety lockout to reset. I'm betting it may, or may not reignite and operate as normal, causing you to again shut it down and restart if it still blows cold.
I was curious as to jus what the local temps ARE around my furnace. After jus measuring them with a digital IR temp reader, the nearest outlet within 2' or so of the furnace, measures near 200degrees max at the opening. Most of the furnace housing itself reads about 180 or so. I may consider an additional inlet opening into my furnace bunker, as I feel this is awful warm temp in this area, and store absolutely NOTHING in this space.
Your 232degree readings do indeed seem excessive IMO. Have you ensured clear and adequate return flow??? Is your return cycling nearby heated air into your system rather than cold return flow???