Based on your wanting more warmth/less brightness it is hard to say if PCC88s will feel that way in your system. Like James I too have liked and used them a lot, in my case in my Toriis, and CSP3. And I agree, I really like the subtle warmth yet nice space and refined fine detail from the few Mullard PCC88s I have.
What might or might not be good about PCC88s based on your idea, though all different, the type tends toward a fast, clean, dynamic sound with a little less weighting toward low bass than many E88CCs... So even with some warmth, hard to guess, but they could feel right, or, with less bass in the balances and their generally open/fast feel, they could be a little light on notable darkness and slowness often associated with "warmth." Add to that pretty clear spaciousness and detail, though smooth usually, depending on all else, they could possibly feel a little bright.
So difficult to translate subtleties that could matter, both from various interpretations of these general audio terms like warm and bright, and between different system/rooms. But here, and to me, many PCC88s I have tried I would call open and revealing tending tubes that are relatively close to neutral overall....some leaning a little softer/slower/darker and some notably lucid and clear. But it seems to me the way many folks seem to describe "warmth" may be a little less subtle than James or I might (maybe), and guess many might not call most PCC88s particularly "warm" in comparison to other nice input tubes.
But this is why I have used them a lot, I do not need pronounced bass or strong warmth in my system, and love immediacy, smooth but complex detail, relatively open space and good dynamics.
In my experience, for a pretty notably warm tube (tending to have noticeable leanings toward darkish/fullish/slowish mids-down in particular, and enough to soften the whole, but not so slow/dark as to soften decent dynamics and well resolved complex detail much) you might look at Philips E88CC or E188CC, importantly the ones with what I came to think of as parasol getters, but lot of folks seem to call disc getters. There are variations on how these getters are set up, some with shorter riser wires, and some longer, and they all sound a little different here, but quite similar.
I have used two basic versions, Mullard made (as described), and perhaps a little less dark/full (at least those I have), labelled Philips E88CC SQs, also with disc getters.... I do not use these in the input position in my Toriis, pretty great sounding but a little too soft/warm/slow for me in this system/room. But I have used them a lot in the power position of the CSP3 with a nice open PCC88 or ECC88 type in the input positions, along with gain tuning, speeding the Mullards up a bit. There used to be Mullard made batches around that were a little less costly, I think labeled E188CC and the box saying made in '80 I think... Mine are stashed away so I can't look at them, but if I recall correctly, they were made in the 60s, guessing the box saying made in 80 might have made them cheaper? Don't know if these are around anymore, but maybe worth some searching. On a quick Ebay search I found these to illustrate the getters and generally what these tubes look like.
https://www.ebay.com/itm/265877759507?mkcid=2&mkevt=1&mkrid=711-175623-139228-7&...What came to mind for me first were 6N5Ps, a low cost experiment if appealing. 6N1Ps in my Toriis, for whatever reasons, do not have enough gain, even though my particular amps came with them. I have used them for times though, and if I am remembering correctly, if you like the sound of nicely resolving 6N1Ps in general, you might get similar sound qualities that are amped up with 6N5Ps... I only have one pair so can't speak to the type, but this pair, with the other tubes I have in, has pretty nice, fullish but relatively tight bass riding up with some warmth leaking into the mid's pretty vivid detail complexity. In my amp, which is quite resolving, though vivid mids, there is warmth, and they have enough detail complexity and smoothness not to be hard. If they did not work there, guessing it could be from being too vivid in the mids. Overall, I guess my pair seems sort of in between nice ECC88s, and nice E88CCs. Can't say these are the same, but the ones I have look a lot like these, though 77 the last number on mine.
https://www.ebay.com/itm/155300130476?_skw=6n5P+tube+pair&itmmeta=01KKVW6E59ZDK1...Hopefully some more folks who have used 6N5Ps more than I might comment.
I guess any tube is a risk to recommend, each of us having such different rooms and systems, and ways of describing tubes, but some thoughts. And for me, having bought a lot of tubes over many years, having different types and variations within types is pretty nice, some working really well with certain tubes sets, and some working really well with others. So I became glad to have even subtle variations to tune with, and was willing to try a bunch of what seemed to be nice tubes when I found them at good prices. But I did buy most of them well before so many got so expensive as now!