Laravel loop through query result, then paginate

I'm working on an event booking system. When the user searches for a date range, I use a function inside my Event model that checks if the event is available. My search function currently works as follows:

    $events = Event::where('name', 'LIKE', '%' . $request->get('term') . '%')
        ->where('accepted',1)
        ->orWhere('description', 'LIKE', '%'.$request->get('term').'%')
        ->orWhere('city', 'LIKE', '%'.$request->get('term').'%')->paginate(15);

    $availableEvents = new Collection();

    if ($request->get('from') !== '' AND $request->get('to') !== '') {
        foreach($events as $key => $event) {
            if ($event->is_available($request->get('from'), $request->get('to'))) {
                $availableEvents->add($event);
            }
        }
    }
    else {
        $availableEvents = $events;
    }

    return view('frontend.events.results', ['events' => $availableEvents, 'request' => $request]);

I can't check availability inside the query builder so I have to loop through. I'm using a Illuminate\Database\Eloquent\Collection because I can't remove events from the paginated thing I get from the query builder.

Is there some way to convert the Eloquent Collection to a paginated collection?

Thanks in advance!

P.S. I'm passing $request to the view to use appends() so I can retain the query string parameters during pagination.

EDIT: The is_available function

public function is_available($from, $to) {

    $from = Carbon::createFromFormat('d-m-Y', $from);
    $to = Carbon::createFromFormat('d-m-Y', $to);

    foreach($this->not_availables as $notAvailable) {

        $notAvailableFrom = Carbon::createFromFormat('Y-m-d', $notAvailable->from);
        $notAvailableTo = Carbon::createFromFormat('Y-m-d', $notAvailable->to);

        if ($from->gte($notAvailableFrom) OR $to->lte($notAvailableTo)) {
            return false;
        }
    }

    return true;
}