Whilst it may feel like a step backwards I agree with the comments about using a proper Seaside style operation.
If the park is not that well publicised I'd say allow people to enter for free. This allows potential guests to walk around the park their own free will, see a ride they like the look of, and think "I might give that a go", and buy a ticket for it, rather than not visiting out of fear for not enjoying it.
It gives the park some easy exposure, and allows any potentially unsure visitors to have a look round at no financial loss to themselves. If guests don't ride anything it's no loss to the park, and they don't have angry guests saying they've wasted money. If they do ride, it gets money coming in, and should give them a decent draw.
Alternativly, although frowned upon by many, they could continue to charge admission to the park which doesn't include any rides but at a lower price, similar to how Pleasure Beach do. I know it's not all that popular with most of us, but there's no denying that it seems to work. PBB's finances, while still not amazing, are certainly an improvement over when Amanda Thompson first took the reins.
To counteract price the park could look into promotional lines. For example, if you travel to Cleethorpes on the train, or with a certain transport provider your entry will be free, or, if not charging for admission, you'll be given so many free ride tokens on presentation of a valid ticket or voucher. They could also look at doing this with local hotels and B&Bs. Ask the businesses to give visitors a book of coupons or something for the park, offering discounts on entry/ride credit, food and drink, or merchandise. This would not only help raise awareness of the park, to visitors, but also entice them to visit if they think they're getting a good deal.
Looking at their ride lineup they seem to have a few staple rides for various markets, including their Boomerang, and Vekoma Family Coaster. However, as The American Adventure proved, a park can easily flop without continuing, solid investment. For a park strugling financially second hand rides seem to be a great way to fall on solid ride's a lot cheaper than buying new ones. A quick lick of paint, and a bit of dressing up and no one will be any the wiser! As said earlier in this topic, with both Camelot and Loudon now closed there must be some rides, both family and thrill coming up on the market.
Looking at Oakwood as an example it's had several rather quiet years, but with the new Neverland addition this year it seems to have had an impact on the park. These were, I think, all second hand rides, purchased at the right price, and dressed up well.
New rides, combined with a strong advertising campaign should be an easy way to draw punters in. Especially when tied with a decent pricing structure.
I really do feel for the park at the moment. Since the whole Flamingo Land PLC debacle it seems to have really hit them hard. We don't want to see another UK park go under. Who actually owns the park these days? Is it family ran, or is there a parent company? Maybe if it is starting to get into trouble with issues which could be fixed with the right funding someone like Aspro maybe able to jump in and take it on, even if it's just partly.