Staff here can usually have a further look, and occasionally change the company's mind, but don't hold out any hope of getting a qt installation. VM's performance on any non-standard new install is often bravely, heroically poor leading to delays of many months, and that's before the complications if you need to make a financial contribution. The small glint of hope is that sometimes the staff here can persuade the company that the property is serviceable within budget despite what you've been told (still unlikely to be quick). If your property is over the fixed installation budget then you may be able to make a contribution, but depending on circumstances that may be very high indeed, and my impression is that the arrangements for customer contributions are irregular, slowly processed, and not offered in all circumstances.
To give you a feeling for the possible costs, I suspect the budget for new installs is around £600. If VM only needed to run a cable across the road, if that were 5m of ducting laid under tarmac, you'd be looking at costs of £200 per metre, plus the costs of "Section 50" permits for streetworks (£200-1300, depending on the council concerned), and maybe a couple of hundred quid for traffic control. You may even be asked to contribute to a full costing survey of around £250 before they even provide a quote. Your circumstances will be different, you can see in my illustration how you might be asked for £800 or more as a contribution for what looks like quite a short run. You'll have to hope that your install costs were actually only £700, and there's only £100 or less to find!
The other thing to consider is whether your area is in Openreach plans for FTTP. If you're lucky there's "only" a year or so's wait before your area gets FTTP, in which case sitting it out on FTTC may be your best option.