Bloody hell, that must be very inconvenient. If I'm doing a lot of pruning or something, I sometimes go 3 times in a weekend, and you can go as often as you like. At our tip, nearly everything is recycled though, separate containers for wood, metal, garden waste (which gets composted, and you can buy bags of it when it's done), cardboard, electrical goods (including white goods). Hardly anything goes to landfill. It's open 9-4, every day bar Christmas Day, Boxing Day and New Year's Day, and the guys who work there are really helpful.
Our bin men are good too, and we still have a weekly collection for non-recyclable and food waste, unlike many areas.
MIL needed to take stuff to the tip a while ago, and she doesn't drive. She arranged for one of my SIL's to take her, and booked the appointment. When they got there, SIL's 4x4 was too tall to get under the barrier, and they weren't allowed to walk in with the rubbish, either, so they had to bring it all back again. Epic fail by Croydon council, imo.
A few days later, I came back from visiting with all her rubbish in my car and took it my local tip.