My limited experience with closing spreads at nearly 0 hasn't been good. I had some way OTM options go to expiration because nobody would take my .05 offer to be bought out.
NOT-ADVICE, but how I handle these sorts of things.
Ideas:
1) Plan on these going to expiration. Then you'll get equivalent of a 0.00 closing price! The risk is an after hours execution. If you've been reading along then somebody else posted the last couple of days about buying some last moment options on the cheap to be ready to take advantage of a big after hours move (by exercise the options). Because of these sorts of things I'm a fan of a positive close.
I haven't experienced after hours expiration, but I think I've had one position go to expiration in a year and a half of selling options. I don't do that
2) Close the short put on its own. Then close the long put on its own. You might find that you can BTC the short put but you can't find a taker for the long put, as its price is really a fraction of a penny. The BTC on the short put might be identical, or off by a penny, from the spread close.
3) Don't try too hard to squeeze out the last penny. On 10 spreads paying 0.10 to be done with the position is $100 ($10 * 10). I view that $100 as a very small fraction of the overall income, buying yourself out of remnants of risk, AND freeing up margin that you can use immediately to sell next week's position (should you be looking to do that). Mostly it brings an end to the position.
I've seen radically large final day moves before and didn't enjoy them at all. That's why I paid .65 (out of 2.50ish) earlier this morning to close some 800cc. I didn't really want to spend that much, but I was also 70-75% profitable and I didn't want a later day share price spike turn a winning position into a deep losing position. Admittedly unlikely but also not 0%. Something like this is easily in my top 3 losses and maybe the single biggest - and all on a day where I missed a BTC by a couple of pennies that would have left me with a profitable position. Yeah - I buy my way out of high % winners and start looking for new game - I don't sweat the last few dimes.