Sounds good...likely you'll need to "burp" the radiator a couple of times to get all the air out, which will, along with the initial run-in friction subsiding, cool things off.
Usually, by the time I get things squared away (carb adjustments, timing, looking for leaks, etc), the engines in the
race car have run in and are ready to see a load. I generally fire the car on stands or its cradle and cycle the trans, warming it and the rear end up at the same time. After about 1/2 hour of this, down it comes for some part throttle passes (nothing over 90 or so) to check the systems before heading to the track.
After fire checks would include leakdown, valve lash, coolant, oil and ATF levels and visuals for leaks. Any odd noises, if present, are noted for future investigation/monitoring. I usually wait to final-set the timing and carb mixtures until I get track so I can get an accurate plug reading.
Good luck with your new engine!”