Thanks for your input, NormK.
I didn't realise that if the governor is indeed shot, the repair costs could be so high. I had briefly looked at the cost of a new motor in Australia, and it seemed I would be paying around $1600 for a similarly sized Briggs motor (I think the costs may be significantly lower in the US, but I'm not certain).
It may be that the 20hp motor is overkill, but I am on relatively hilly country and thought it better to err on the side of a bigger motor when buying secondhand. I know that Greenfields of similar cut (32 or 34 inch) were fitted with motors as small as 13hp or smaller, so you may well be right. I will look at the cost of something a bit smaller......
Money is an issue, and I've always tried to do my own repairs as a result (and because until recently the repair shops in my area that would work on a ride on were hopeless). Similarly, I have had drive and deck problems that I think I have sorted, so have been reluctant to invest heavily in a new motor until the unit has proven itself. I am, though, nearing the point of needing to spend significant money to solve my mowing dilemma one way or another.
Thanks again, NormK.