Everyone is beating around the bush....if you want a plow for a 35hp tractor, get what you can find...used is usually better than what is sold today as new...Ie. look for an old Dearborn (Ford) or Oliver 2 bottom plow thats either 12 or 14". I say this as you stated you only want to plow a garden...not a 10 acre field.
There is some chance a 1950s - 1960's plow will collide with the frame on a CK3510, judging by its weight, relative to three tractors I have owned.
I have a Ford Series 101 two bottom Moldboard Plow and had a difficult time operating it behind my Kubota B3300SU, with full size Cat I hitch, because of interference. Ford 101 is fine behind my heavier Kubota
L3560 but there is little spare room between that long Ford 101 main beam and the
L3560 frame.
(I have a blue Ford 101; it is probably an Oliver plow painted blue for Ford.)
Point is: Contemporary compact utility tractors, like the CK3510, are not designed around old plows.
Contemporary plows are designed around contemporary tractors.
I purchased a 12" single bottom plow from everything attachments for a subcompact Kubota BX. It has a
full-size moldboard, reduced size frame to fit small space available around BX hitch without interference. ETA plow works great. I wish the BX tractor had hydraulic Postion Control. (The ETA plow I use preceded ETA's Land Shark brand.)
I am not pushing contemporary plows, but contemporary plows should be considered. WEAR PARTS READILY AVAILABLE.
ETA SUBCOMPACT PLOW: Land Shark | Single bottom sub compact tractor plow made by one of the longest running families in the plowing business.
ETA FULL SIZE FRAME PLOW: Everything Attachments 12 Inch Single Bottom Plow
A CK3510 will pull a 12" three bottom plow through "average" moist soil. Three bottom plows take more time to master than two bottom plows.
A CK3510 will pull a 12" or 14" two bottom plow through average and gravel soils. Only the toughest of soils will slow down a CK3510 drawing a 12" or 14" two bottom plow.
Two bottom 16" plow ~~~ OK in good conditions, marginal in tough or dry soil.
R1/ag tires are advantageous plowing.
(This guidance assumes plow is in good shape with reasonably sharp wear parts.)