Looking for Budget-Friendly Email Sequencing Tool for Clay Integration

Just discovered Clay and I'm loving it! Using it to get contact info from website and qualify semi-large number of SMB companies. I'm looking for a simple email sequencing tool that can push my cleaned prospect contacts to at the end of my Clay workflow. I was looking at Instantly.io but they limit you to 1000 "uploaded contacts" at the lowest pricing tier which is annoying because then I'd have to go in manually occasionally and delete my old contacts. I have also tried Apollo but they limit you to 2 sequencing campaigns whereas I will need to do +10 per month of like 20-30 prospect companies each. I just want a simple "stupid" cheap sequencing tool that has my template and sends my emails during the time I specify without stupid limitations. Does anyone have any recommendations? Preferably something that integrates well with Clay.