I case anyone is interested, and I know Bill Sloman isn't, this seems to meet my LED drive spec.
The procedure I used to simulate this is as follows.
Download the pspice model from here and unzip it.
Put the information below in an asc file. Open the asc file with Notepad++ and under Encoding if it's not already ANSI convert to ANSI and save it.
Open the asc file in LTSpice and Mirror (Ctrl-E) and place the symbol. Make sure VIN is connected to Vin not EN (which should be open). Run the simulation. LED current should be stable after 6ms of simulation.
This has only been tested in LTSpice 26.0.1 and I understand from JM that versions earlier than 26 may not work for this simulation.
Version 4.1 SHEET 1 3060 936 WIRE 352 -176 272 -176 WIRE 448 -176 352 -176 WIRE 528 -176 448 -176 WIRE 1296 -176 528 -176 WIRE 880 -128 592 -128 WIRE 928 -128 880 -128 WIRE 1056 -128 1008 -128 WIRE 1136 -128 1056 -128 WIRE 1472 -128 1136 -128 WIRE 1584 -128 1472 -128 WIRE 1632 -128 1584 -128 WIRE 880 -48 880 -128 WIRE 1632 -16 1632 -128 WIRE 1472 0 1472 -128 WIRE 1056 64 1056 -128 WIRE 1136 64 1136 -128 WIRE 592 112 592 -128 WIRE 640 112 592 112 WIRE 880 112 880 16 WIRE 880 112 832 112 WIRE 528 144 528 -176 WIRE 640 144 528 144 WIRE 640 176 592 176 WIRE 880 176 832 176 WIRE 352 192 352 -176 WIRE 448 192 448 -176 WIRE 1312 256 1200 256 WIRE 1424 256 1376 256 WIRE 272 304 272 -176 WIRE 1296 368 1296 -176 WIRE 1376 384 1328 384 WIRE 1424 384 1424 256 WIRE 1424 384 1376 384 WIRE 1520 384 1424 384 WIRE 1632 384 1632 64 WIRE 1632 384 1600 384 WIRE 1680 384 1632 384 WIRE 1776 384 1744 384 WIRE 1808 384 1776 384 WIRE 1856 384 1808 384 WIRE 2000 384 1920 384 WIRE 2144 384 2064 384 WIRE 2288 384 2208 384 WIRE 2432 384 2352 384 WIRE 592 400 592 176 WIRE 672 400 592 400 WIRE 1200 400 1200 256 WIRE 1200 400 752 400 WIRE 1232 400 1200 400 WIRE 1264 400 1232 400 WIRE 1376 416 1328 416 WIRE 1472 416 1472 64 WIRE 1472 416 1376 416 WIRE 592 432 592 400 WIRE 1472 432 1472 416 WIRE 1776 448 1776 384 WIRE 272 544 272 384 WIRE 352 544 352 256 WIRE 352 544 272 544 WIRE 448 544 448 256 WIRE 448 544 352 544 WIRE 592 544 592 512 WIRE 592 544 448 544 WIRE 880 544 880 176 WIRE 880 544 592 544 WIRE 1056 544 1056 128 WIRE 1056 544 880 544 WIRE 1136 544 1136 128 WIRE 1136 544 1056 544 WIRE 1296 544 1296 432 WIRE 1296 544 1136 544 WIRE 1472 544 1472 512 WIRE 1472 544 1296 544 WIRE 1776 544 1776 512 WIRE 1776 544 1472 544 WIRE 2432 544 2432 384 WIRE 2432 544 1776 544 WIRE 272 560 272 544 FLAG 272 560 0 FLAG 1808 384 led FLAG 1376 384 isens FLAG 1376 416 iref FLAG 1232 400 ifb FLAG 1584 -128 vout SYMBOL voltage 272 288 R0 WINDOW 0 -75 16 Left 2 WINDOW 3 -71 54 Left 2 WINDOW 123 0 0 Left 0 WINDOW 39 -185 81 Left 2 SYMATTR InstName V1 SYMATTR Value 15 SYMBOL cap 864 -48 R0 SYMATTR InstName C1 SYMATTR Value 100n SYMBOL cap 336 192 R0 SYMATTR InstName C3 SYMATTR Value 10000n SYMBOL cap 432 192 R0 SYMATTR InstName C2 SYMATTR Value 100n SYMBOL ind 1024 -144 R90 WINDOW 0 5 56 VBottom 2 WINDOW 3 32 56 VTop 2 SYMATTR InstName L1 SYMATTR Value 0.015m SYMATTR SpiceLine Rser=1m SYMBOL cap 1040 64 R0 WINDOW 3 -81 53 Left 2 SYMATTR Value 22000n SYMATTR InstName C4 SYMBOL cap 1120 64 R0 SYMATTR InstName C5 SYMATTR Value 22000n SYMBOL res 1648 -32 M0 WINDOW 0 -37 34 Left 2 WINDOW 3 -57 63 Left 2 SYMATTR InstName R5 SYMATTR Value 0.7 SYMATTR SpiceLine tol=1 pwr=0.1 SYMBOL OpAmps\\OP07 1296 336 M0 WINDOW 0 12 22 Left 2 WINDOW 3 9 103 Left 2 SYMATTR InstName U2 SYMBOL res 1456 528 M180 WINDOW 0 -40 81 Left 2 WINDOW 3 -51 46 Left 2 SYMATTR InstName R7 SYMATTR Value 470 SYMATTR SpiceLine tol=1 pwr=0.1 SYMBOL schottky 1488 0 M0 WINDOW 0 43 24 Left 2 WINDOW 3 40 -8 Left 2 SYMATTR InstName D1 SYMATTR Value BAT54AHY SYMATTR Description Diode SYMATTR Type diode SYMBOL FerriteBead 1712 384 R90 WINDOW 0 -16 0 VBottom 2 SYMATTR InstName L2 SYMATTR Value 6µ SYMATTR SpiceLine Ipk=3 Rser=0.0102 Rpar=1220 Cpar=1.9p SYMBOL LED 1856 400 R270 WINDOW 0 72 32 VTop 2 WINDOW 3 0 32 VBottom 2 SYMATTR InstName LED1 SYMATTR Value LXZ1-PB01 SYMBOL LED 2000 400 R270 WINDOW 0 72 32 VTop 2 WINDOW 3 0 32 VBottom 2 SYMATTR InstName LED2 SYMATTR Value LXZ1-PB01 SYMBOL LED 2144 400 R270 WINDOW 0 72 32 VTop 2 WINDOW 3 0 32 VBottom 2 SYMATTR InstName LED3 SYMATTR Value LXZ1-PB01 SYMBOL LED 2288 400 R270 WINDOW 0 72 32 VTop 2 WINDOW 3 0 32 VBottom 2 SYMATTR InstName LED4 SYMATTR Value LXZ1-PB01 SYMBOL cap 1376 240 R90 WINDOW 0 0 32 VBottom 2 WINDOW 3 32 32 VTop 2 SYMATTR InstName C8 SYMATTR Value 1n SYMBOL res 1616 368 R90 WINDOW 0 0 56 VBottom 2 WINDOW 3 32 56 VTop 2 SYMATTR InstName R6 SYMATTR Value 22k SYMBOL res 576 416 R0 SYMATTR InstName R1 SYMATTR Value 10k SYMBOL res 768 384 R90 WINDOW 0 0 56 VBottom 2 WINDOW 3 32 56 VTop 2 SYMATTR InstName R2 SYMATTR Value 47k SYMBOL cap 1760 448 R0 SYMATTR InstName C6 SYMATTR Value 1n TEXT 320 592 Left 2 !.tran 0 10m 0 20n startup TEXT 320 632 Left 2 !.options solver alt