Here is some info that might help
I am familiar with the L2C flying piper tomahawks and C152's in my early flying career. Here is a snip from Lycs cert data......
The C2C is like a -C2A like a -C1. It has a type 1 prop flange and apparently has provision for constant speed prop (hollow crank and governor drive pad) or fixed (with blocking plug).
The down side of a -C2C has with 6.75:1 compression ratio (CR), which makes 115 HP, three less HP than what VAN specs out, but can use lower octane fuel.
The L2C has 8:5:1 compression which is comparable to a 180HP 360 Lyc, which also has the same 8.5:1 CR. The O-235 also comes with CR of 8.10:1 and 9.75:1. The higher CR of 9.75:1 is the 125 HP version and was taken off the market because of detonation issues. However there are approved STC's to convert O235's to 9.75:1 CR. Go figure. I don't recommend the high CR mod from personal experience. 8.50:1 is plenty.
I'm not 100% sure but I am guessing the -C2C has a conical mount, not the more desirable dynafocal (I). The Lyc data does not say conical explicitly, but if you follow the engines derived from the base -C1 engine, you see -J2A says the SAME except Dynafocal mount. That implies all the preceding engine models including the -C2C have a conical mount. Bottom line conical motors sell for less used because they are not as desirable. However you want to check with VAN that they have a RV-9 conical mount. Van does make some conical engine mounts for the 320 on the other RV models. Conical is not ideal or as good as dynafocal, but it works if you get the LORD engine mounts. They are not cheap but worth it.
O-235-C1 115 2800 80 6.75:1 Type 2 prop. flange, fixed or constant speed
O-235-C2A 115 2800 80 6.75:1 Same as –C1 but has AS-127, Type 1 prop. flange
O-235-C2C 115 2800 80 6.75:1 Similar to –C2A but with Slick Magnetos
O-235-E1 115 2800 80 6.75:1 Same as –C1 but has provision for controllable prop.
O-235-F2A 125 2800 100/100LL 9.70:1 Similar to –C2A but higher power and comp. ratio
O-235-J2A 125 2800 100/100LL 9.70:1 Same as –F2A but with Type 1 dynafocal mounts
O-235-L2A 118 2800 100/100LL 8.50:1 Same as –J2A but with 20° BTC timing, lower comp. ratio and lower power
O-235-L2C 118 2800 100/100LL 8.50:1 Same as –L2A but with Slick Magnetos