Just to be clear - a RF choke (CMC) should not have any effect on your SWR. It just prevents RF from travelling back down the shield of your coax and causing EMI/RFI. SWR is set by adjusting your antenna's radiator length and/or matching system.
Justme is right, you need a Low Pass filter to remove harmonics. Here is a good option for your power level:
https://www.ebay.com/itm/Palstar-Model-FL30-Low-Pass-Filter/133523814681
Make sure everything is well grounded to a common ground buss/bar. That includes radio, amp/s, watt/swr meter, low pass filter, power supply/s, etc.
To specifically answer your question, 10 turns of RG-400 (don't use any other type of coax) around a FT240-31 toroid will get you ~4400 ohms of resistance. More wraps does give you more resistance but it also lowers the effective frequency - you will actually have less resistance @ 27MHz. Some "experts" say you need at least 5K ohms for a CMC choke to be effective so, you can always wind up 2 in series (as shown takes about 5.5 feet with 4" pigtails on either side). RG-400 can handle 3KW @ 27MHz.
Attached is something I put together for my 10-11 meter setup (2 x 10 turns in series = ~8800ohms @ 27MHz) - attach at the antenna feed point.
You can get 12 feet of RG-400 for $16+ on ebay if you don't have any which should be enough to make up 2 RF Chokes even if you make them for the lower bands.
https://www.ebay.com/itm/12FT-RG400...able-19-Stranded-Inner-Conductor/264196085449
FT240-31 - Mouser and Newark sell them for ~$5 each
https://www.newark.com/fair-rite/2631803802/ferrite-core-cylindrical-119ohm/dp/43K4703
https://www.mouser.com/ProductDetail/Fair-Rite/2631803802?qs=P8bU7i9nNAWMk1EJQzshLg==&gclid=EAIaIQobChMI8ZSIh9qB7AIVga_ICh27KQDXEAYYBSABEgLQSPD_BwE