The way the OP describes his problem it sounds as if the heat warping actually brings the neg into focus - admittedly the exact opposite of what you'd expect.
It can happen that way if the negative is first allowed to heat sufficiently to pop it, the central area of the negative is focused in the popped condition, and then the lamp is switched off.
The negative is thin and cools quickly allowing it flatten back into the original plane while the paper is positioned on the easel.
Then the moment the lamp is switched on the image is fuzzy because the central part of the negative has cooled and dropped below the plane of focus. But when the timer is tripped, the negative heats and the central area slowly bellies back upward to where it was focused when hot, the image goes from fuzzy to sharpat least in the central areaduring the heating period until the negative is once again fullypopped. But during the transition the sharpness of the projection varies. The result is an unsatisfying print that lacks the full sharpness the negative and lens can deliver.
The cure is to install heat absorbing glass. This costs about 0.3 stops per sheet. The HA glass supplied with US enlargers is 1/8 in thickness.
I found that the flatness of my heated negatives was greatly improved in my Beseler 23C II condenser enlarger by installing a single sheet of HA glass, but dense negatives requiring long exposures still got slightly fuzzy over long exposures of, say, 30 seconds or longer. This enlarger is equipped with a 75-watt opal enlarger bulb (horizontal burn PH-111 or vertical burn PH-140, depending on when it was made).
I removed the sheet aluminum filter drawer from the lower filter slot so that I could install a SECOND sheet of HA glass. With 2 sheets of HA glass the negatives apparently dont move at all even during exposures of up to 60 seconds or more. The 2 sheets of HA cost me 0.6 stops, but thats a small price to pay for negatives that stay flat and well focused throughout the exposure.
Since Ive used up both filter slots with HA glass Im forced to use the Ilford below-the-lens Multigrade filters. They work great and dont degrade the image a bit.
Some folks use expensive glass carriers, but the excess heat really should be eliminated first before going to a glass carrier. It might be that exceptionally long exposures, such as making a horizontal projection on mural paper (I think Ilford supplies this up to 56 wide) might require a glass carrier in addition to HA glass.