Hi JCH,
I'm no expert in these fertility stakes with PCOS and LOCAH but I'll put in my twopenny worth!
Firstly your Testosterone has come down well. Although 3.3 nmol/L is quite good it could come down a teensy bit more, maybe to the twos eg. 2.5 nmol/L!
So I reckon in your case, by upping your dose as your doctor has suggested, to a split daily dose of total 7.5mg this could reduce your testosterone a little more and give your 'ovulation' a kick start by evening out your adrenal hormones.
IMHO I wouldn't rush into the Clomid but give the 7.5mg Prednisolone a chance to work maybe for two or three months and see if you start ovulating.
I have read on these boards quite often how LOCAH women can become pregnant quite quickly when they are on a higher dose of corticosteroid such as Pred, than would normally be taken for standard LOCAH treatment. It's worth a try!
ALSO as M1 said, it's worthwhile to split your dose to twice daily. So for example once you start on the 7.5mg dose of Prednisolone I suggest you (check with your doctor) take 5mg in the morning early (as soon as you wake or earlier. M1 and I take our early doses about 3-4am) and the 2.5mg in the afternoon about 3-4pm. This gives you cover throughout the day but not too much overnight.
Feel free to ask any other questions! Fingers crossed!