Clicquot and some of the other wines that you mentioned are about as down-the-middle as you can get with Champagne so it is hard to say what might or might not be better to you.
I would go to a wine shop that has a decent Champagne selection like Hi-Times and just start buying and trying bottles. There is no better way to learn. Organize up a Champagne tasting with friends and try a dozen bottles side-by-side. There are plenty of good recommendations above; you will probably love some of them, dislike some of them, and find some just kind of boring. Based on mostly drinking larger producer NVs, I don’t think you really are going to know exactly what you will like and dislike yet in Champagne.
I don’t know what Morlet Champagne you had, but their basic NV Grande Reserve was always a solid wine and usually sold around $40-$45 though was not the easiest wine to find. I don’t know how they currently handle importation, distribution, and pricing, but I would be shocked if it was outside of your price range. Morlet is a Pinot Noir heavy Champagne as is the Clicquot, there are vineyard source similarities between the two and there are also some similarities in the winemaking. It makes sense that you would enjoy both. Other producers that are likely to be silmilar would be those who have a lot of grapes coming from the Southern Montagne de Reims and the very eastern end of the Marne Valley (aka the section many now call the Grande Vallee). Wines from folks like Paul Bara, Andre Clouet, Camille Saves, Henri Billiot, Goutorbe, Geoffroy, Philiponnat, Bollinger, Chiquet, AR Lenoble, Brice, Chiquet, Hebrart, Coutier, Barnaut, Jacquesson, Pol Roger, Deutz, and Laurent-Perrier would all fit this bill and should not be too hard to find. There are plenty of others too, but don’t stick just to these folks; explore the entire region and various styles as you might surprise yourself with what you like.
Try some Blanc de Blancs, Rose, 100% Pinot Noir, 100% Pinot Meunier, vintage wines, low/no dosage, small producer, all oak aged, etc… Eventually you are going to start to develop favorites. Just don’t let anyone tell you that you need to follow any strict script. Big/small producer, high/normal/low/no dosage, maloclatic/no malolactic, steel/oak, blended rose/macerated rose, etc… There are good wines of all kinds out there. Explore!