I have a classic chinois works well. It has the reinforcing bar around the bottom of the screen to prevent bangs. About $100 new.
I have a French made tamis with exchangeable screens I like a lot. Cost me about $250 if I remember correctly.
I have to ask how much pressure are you talking about? The better ones do the job well but too much pressure will ruin any of them.
Enough pressure to sieve mashed potato, parsnip and the like, not that much really, but enough to trash the usual $5-10 item for sure I would think. Would hope there was something around $25-35 dollars, this is not a commercial kitchen.