There's the other option that if you're not looking to overclock heavily (if at all), you can get a smaller cooler. If all you're looking for is something that will keep the CPU cool, you won't need something that's 2.5-3lbs like the larger (air) coolers are.
As for antifreeze--possible, but be careful with what the rest of the pieces in the loop are. Biggest concern though is whether or not the stuff on the shelf is using a true custom loop or if it's using an AIO cooler. If it's using an AIO cooler, you do not want to crack it open to try to put antifreeze or any other fluid in.
If I were you, I would try to follow the route that stapler suggested, but have all of the parts mailed to a pre-determined place you know you will be at on said date. From there you can build the machine and take it with you.
Example:
PCPartPicker part list:
https://pcpartpicker.com/list/9BmdtJ
Price breakdown by merchant: https://pcpartpicker.com/list/9BmdtJ/by_merchant/
CPU: Intel Core i7-7700K 4.2GHz Quad-Core Processor ($338.89 @ OutletPC)
CPU Cooler: CRYORIG M9i 48.4 CFM CPU Cooler ($19.88 @ OutletPC)
Motherboard: ASRock Fatal1ty Z270 Gaming-ITX/ac Mini ITX LGA1151 Motherboard ($159.99 @ SuperBiiz)
Memory: G.Skill TridentZ Series 32GB (2 x 16GB) DDR4-3200 Memory ($184.99 @ Newegg)
Storage: Samsung 850 EVO-Series 250GB 2.5" Solid State Drive ($93.99 @ Amazon)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.33 @ OutletPC)
Video Card: Gigabyte GeForce GTX 1070 8GB Mini ITX OC Video Card ($369.99 @ Amazon)
Case: Corsair 380T Mini ITX Tower Case ($139.99 @ Corsair)
Power Supply: Corsair CXM 550W 80+ Bronze Certified Semi-Modular ATX Power Supply ($64.99 @ Amazon)
Total: $1422.04
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-02-26 20:22 EST-0500
I don't know where your budget is, but this would do everything you are saying, and it would be held in a 380T (the yellow case pictured above) for ~$1500.