Unfortunately there is no perfect way of financing in Hungary at the moment.
HUF mortgages are very expensive and not popular with either locals or foreigners. It's very likely that Hungary will be part of the Eurozone by 2012/2013, so all HUF mortgages will become EUR at that stage in any case.
EUR mortgages are the most common and if you can deal with the currency risk, then they offer cheaper interest rates. Unfortunately the EUR/HUF rate is very volatile and it's impossible to predict which way it will go in the future.
CHF mortgages are no longer popular, but USD-based loans might be appropriate for you, depending on your personal circumstances. (For the most part, foreign-currency loans are paid in the foreign currency and not in HUF).
If you haven't signed contracts just yet, you could try to apply for a purchase mortgage instead of an equity-release product. Some banks only offer purchase mortgages at the moment, so it might be best not to narrow your options just yet.