Actually your fine for printing you will just need to adjust temps on the printer accordingly. (I would start with the base prints though) My first print room had no AC as well. If give me temps through day etc etc. It all factors in a bit. Some of the exotic materials may get a bit more complicated though, but PLA you can do just will need make adjustments. you may need to get fans in the room though to keep equipment cool enough operating.
Additional thoughts, X1 I think as you’ll have more controls and the extra blower if you get a p1p add on the extra blower.
I would use the Pla cold plate as it will need less heat in the printer for sticking etc etc. I also feel PLA+ will work better then regular PLA as it generally can handle more heat etc. Maybe try inland PLA+. I could ask my friend In IL he has X1 and same situation.