> various transformers that are gapped to allow DC currents to flow
For vacuum-tube plate circuits. For the Usual Tubes.
(Could be transistor, but the sexy market is tubular.)
Rig a 6L6, a 250V-500V supply, an adjustable cathode bias resistance (unbypassed), and a high-level signal generator.
Load primary or secondary with nominal load.
In most conditions, 6L6 plate resistance will be almost 10 times higher than nominal load. With unbypassed cathode resistance, more than 10 times. You can ballpark this by changing the load with constant grid drive. You could pretty much ignore it, or apply a 10% fudge.
Bring 6L6 up to transformer's nominal current.
Bring audio grid drive up to a fraction of a Watt.
Sweep frequency down from midband to the -3dB point. F and R and a couple Pi give effective L.
"R" would be dummy load R in parallel with 6L6 effective plate resistance. But this error will be OTOO 10%. I hope you take your prototype measurements and deduct ~~20% for production leeway and protection against too-fussy customers. Measure 10H, promise 8H, deliver 9.0-9.5H.
Try with part-Watt, also at "full power", and at some intermediate signal voltage. Watch waveshape change with frequency and power. No-DC transformers will respond different for small or large signal. Big-DC transformers may not. (Nobody is paying me to find out.)
Nudge 6L6 DC current a bit high of Rated Current and spot-check. If current 20% high gives inductance 20% low, no big deal. If the inductance "falls apart" for typical tube tolerances, you need more robust design (less sharp pencil, more iron).
Customers using pentodes with bypassed cathodes will get response a hair better than L and load say.
Customers using triodes at typical loading will get response nearly 3 times better than L and load compute to (triode Rp is usually less than half of load).
An alternative is to use a big MOSFET in a tube-like circuit. Rp is infinite for all practical purpose, and no heater supply. You do have to run high DC voltage to verify low distortion at high signal levels. You may kill a few MOSFETs because while they can be bought for 1,000V, glitch-kicks on 250V or 500V DC supply in a low-loss choke will flyback couple-KV spikes.
There are more precision ways to measure L in presence of DC. Most require a choke MUCH better than the one you are testing. And if your market is tubework, or understands that this iron is sold for such work, the in-circuit 6L6 measurements are what they need to know.
When you get bored with 6L6, I have a scheme for 813 at 45 Watts output single-ended. Guitar-band... full bass would be too much for my floor. I suspect even then the weight and cost are beyond my tolerance. But fun to think about while tuning my puny 16W SE 6550.
Put 4/8/16 secondaries on your iron. I know why that is a "poor idea". But often I can't know what speaker I will have to drive until I get to the gig. And saves you from stocking three SKUs for every basic design.