$300 is dirt cheap for a calibrated EMI antenna. The kits I've seen cost about the same as a good used car.
I wouldn't recommend that particular one (your Tessco link). First of all, it's a monopole (not a dipole). Second, it requires a ground plane. So it's not a good choice for probing polarization.
I've been thinking about the required accuracy of your test antenna. Let's say you build Qty 2 dipoles using, for example, coat hanger. Let's assume you build them carefully and do neat work with the feed point. You should be able to achieve about a -20dB null when cross-polarized. -20dB means they're only picking up 1% of the power when cross polarized.
Now your CP Antenna Under Test: If it's any good, it should have an axial ratio something close to 1:1 (or 0dB). Maybe it's a poor CP antenna and it has an axial ratio of 3dB. This 3dB delta should be easy to measure to a reasonable degree of accuracy using a home brew test antenna.
By the way, you'll need to be very careful about where you perform any of these tests. In a lab and you may see enough reflections to show up as you move things around. If so, go outside and aim the source up. Or hire an EMI chamber, but outdoors is free.
By the way, what's the application?