PJN, we like to see your posts when you have them for us

.
Nothing better than
local advice and we may have some of that. I can just offer a caution.
I have killed tomato plants by moving them from a heated greenhouse where it was never below about 60F to a unheated tunnel where it was 37. That temperature was confirmed because the plants that died in there were both around the edges and in the center of that plastic tunnel beside the thermometer. There was a fair amount of damage to quite a few plants but some didn't recover. I am sure that they could have survived that 37 morning
IF they had been hardened-off a little but they were just tender things.
You need a greenhouse thermometer so you know what's going on in there.
You may be facing that nasty situation where you are running out of room indoors. You may need to do some moving in-&-out for a few days/nights. I have had plants lined up on my utility room floor where it was difficult to walk thru. The garage is often used when I'm trying to get things hardened-off during the daytime but it is too cool overnight.
Often, people are leaving their homes early in the morning, the coldest time :/!
What to do with the plants??! There's an advantage a "retired person" has . . .
Can the plants be covered in your greenhouse for the next several nights until the temperature in there will stay in the high 50's for those indoor babies (see thermometer advice above

)? Is it possible for you to hold off on that up-potting and running out of space and wait for a little warmer weather? Maybe you could use the weekend to slow those plants down and harden them a little by getting them out during the afternoons into a little cooler but protected place.
Steve