Hard not to recommend the OSSC.
The OSSC does 1080p when in x5 multiple mode, actually you can select from 1080p, 1600x1200, and 1920x1200. In 1080p mode depending on the monitor either the clean integer will be kept and therefore a number of lines left out on the top and bottom (or sides if you're in tate), or it'll be upscaled/interpolated by the monitor like with the other multiple modes, showing the full picture though not 1:1 sharp.
(this x5 1080p 1:1 mode is more interesting for systems that output 224p like CPS2 or that typically have large overscan borders like the Megadrive)
But in your case it's not very important since it's very likely that x3 720p mode will look the most pleasant anyway.
Very few monitors won't accept this mode, it's with TVs that it's more random, or when you try hardwares with really odd/off resolutions and refreshes (which is not the case here with Cave SH3/CV1000)
x4 960p will likely also work (might look weird tho)
x2 480p of course will work, it's better than the Mini's own linedouble mode and even better than the pre-Mini XRGB's, or any other linedoubler I can think of.
With the OSSC you indeed get no lag, but also - available in beta for now but soon official - 'hybrid scanlines' which is a better and adjustable implementation of scanlines imitation, more respectful of the brightness of the picture's bright/dark areas and objects, it looks more natural and is superior to the usual simple jailbars-like effect.
The 1080p fully processed and laggy output of the Mini imho is now obsolete, the OSSC's 720p output is splendid, lagless, with hybrid scanlines, the other multiple modes + several other features that give the OSSC the edge and significantly better value.
The only reasons to still prefer the Mini are 480i games (PS2 mainly) for which it is better, and owning a display known to firmly reject modes over x2 (rather rare).
If you'd like to hear about how well the U2414H works with the OSSC in general, IIRC Fudoh on shmups got both, you won't get better advice.
I don't think he owns Cave pcbs but that shouldn't make any difference.
If you'd still like to read feedback from someone who's got a Raijin, at least one SH3/cv1000 pcb, and an OSSC, (that would be me) you'll have to wait some days for it because part of the hardware is currently in storage and I have my hands full with lots of stuff atm. ^^
My monitor's not the same though also Full-HD.