> DCR seems a bit too high for this purpose (something on the order of 3K).
Too low. DCR is good. You idle at high current, but don't want to melt tubes: want low plate voltage. You want high plate voltage when GR-ed, for high grid voltages and low relative distortion. Since this is low-current, large DCR is mostly good.
A disadvantage is the huge common-mode shift flogging your next stage. For 3K working at 10mA-1mA it is only 27V, and a 100V long-tail can reject that. 3K working 30mA on down does get to be trouble; however the affordable Hammond may not stand 30mA.
Another disadvantage is that a large plate voltage shift as you start to go into GR means a very soft knee, unless you over-amplify the CV.
Anyway, two chokes will both flux-saturate, one CT choke is too advantageous to ignore. But they don't hardly make any CT chokes. OneElectron has a few dual-winding irons, but they are power amp para-feed jobs and may not have high Henries. Using half a transformer ensures double DCR of an "optimum" winding, but DCR is not all bad, and stock-part is good.
Between choke and transformer: choke reduces common-mode, transformer nearly eliminates it. OTOH some transformer faults vanish in choke use. Leakage inductance works with you, not against you.
I've played with loading the secondary while using the primary for both in and out. What happens is that all transformer faults appear in reverse: it won't roll-off highs because leakage inductance gets in the way of the load-down action. I think there was a broadcast limiter which did this, but it may have been a few hand-wound samples built in a down-under land.
BTW: the H-P 200AB has a nice fat wide-band 60K:600/150 transformer, and sad 200ABs can sometimes be found for the take-away. You also get enough power transformer for a 2-6V6 power amp (or similar), and a knob as big as your head.