Of the ones on your list, I've stayed at the Beaugency and Muguet as recently as April. Here are my thoughts:
Beaugency: a couple of rooms have Eiffel tower views, my last one had a view from the window in the shower, lol, so not exactly conducive to sitting and watching the lights sparkle on the hour in the evening! It's one of the least expensive options in the neighborhood. It's clean, new linens last April (which were changed out between that time and my previous visit in October 2021) and a really nice staff. The staff has been very stable and many of the pre-pandemic staff members are still there. It does need a major re-do...paint is chipped on door frames, one of the rooms I've been in recently had the bottom of the bathroom door warped from what appeared to be a bathroom flood but just cosmetic stuff. I first stayed here in 2014 on a Rick Steves 21 day Best of Europe tour. There is motorcycle parking at the end of the Rue du Champ de Mars where it runs in to Rue Duvivier right in front of the hotel. With the spike in food deliveries with the pandemic this is now a very busy and kind of noisy area until about 9-10P when food deliveries cease. The windows of the Beaugency are double pane so if the windows are shut it's not noticeable but if you keep your windows open this can be annoying if you go to bed early.
Muguet: This is on a quiet street but still well-located. It has the nicest linens of any hotel I've stayed in in the area. Seriously wonderful towels and sheets, lol! Nice breakfast spread of cold food although there is often a breakfast lady who will offer to fix eggs. I'm not an egg eater so have never taken her up on it and she's not there every day. They do have one of the wonderful orange juice squeezer machines which is a plus. Staff here is also very nice and the owner/manager of the hotel is there every day during the week and is very much a presence. Staff here has also been pretty stable although I don't know them as well as I know the Beaugency staff although I've stayed here 4-5 times.
Both hotels have staff on the front desk 24/7. That's important to me as a solo female traveler. Both hotel staff members recognize you after a day or two which I like. It means they are noticing who goes in/out.
I've also stayed at the Relais Bosquet which someone else mentioned. A friend was there in April and ran in to Rick in the stairwell, lol, so he stays there as well. It's one of the more expensive in the area so might be out of your price range. It has the nicest breakfast in the area with a selection of hot dishes as well as the traditional croissant/baguette/cold cuts/cheese/cereals offerings.
I've not stayed in Levecque although they just had a major overhaul during the pandemic and took it back to the studs so it's completely redone.
I'll add that if you can add a night often there is a 3-night stay "deal" on pricing. BTW, since you are going in July, all 3 of the hotels I've stayed in have decent AC. There is also an Amorino gelato place on Rue Cler....good to know if there's a heat wave, lol!
Have a wonderful time!