7 weeks wasn't that far away for us- but it definitely depends on your lo. If yours is like mine, she'll want to feed directly after a bath. So... if you time it right, it could work out great for you (and the bath does usually help calm them down for bed- especially if you're able to get some lotion in afterwards.) When we don't do a bath, we just do things like swing time or other not too stimulating activities (I wouldn't do the bright red and black activity mat at this time.)
Congrats on your new lo!