You might not need a 45 lbs ebike, perhaps you can use an ebike that weights 50 with a 5 lbs removable battery. That really widens your net. Many bikes will fit this bill. The advanced search on this site can choose by weight, you need to select MORE FILTERS at the bottom of the advanced search. Also, advanced search does not work in chrome.
If not, A quick search by < 45lbs and $<$3000 produced EZ Motion Neo Race.
Another thing to consider is that if you bike rack is low enough, the bike can be pivoted onto the rack. First one wheel is put on the rack and then the other. This way the weight of the bike being lifted at one time is reduced.